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125 1. Agarwal, S. (1994) ―Transport phenomena in Non- Newtonian fluids flowing through circular curved tubes‖. Ph.D. thesis, Indian Institute of Technology, Delhi, India. 2. Agarwal, S. and Jayaraman, G. (1994) ―Numerical simulation of dispersion in the flow of Power-law fluids in curved tubes‖. Appl. Math. Modeling 18:504-512. 3. Ananthakrishnan, V., Gill, W.N., and Barduhn, A.J. (1965) ―Laminar dispersion in capillaries: Part I.‖, Mathematical Analysis, AIChE J. 11, No: 6, 1063-1072 4. Anderson, H.V., Roubin, G.S., Leimgruber, P.P., Cox, W.R., Douglas, J.S. Jr., King, S.B. and Gruentzig, A.R. (1986) ―Measurement of transstenotic pressure gradient during percutaneous transluminal coronary angioplasty‖. Circulation 73, 1223 - 1230. 5. Annapurna, N. and Gupta, A.S. (1979) ―Exact analysis of unsteady MHD convective diffusion‖. Proc. Roy. Soc. A.367, 281-289. 6. Aris, R. (1956) ―On the dispersion of a solute in a fluid flowing through a tube‖. Proc. Roy. Soc. Lond. A. 235: 67-77. 7. Aris, R. (1960) ―On the dispersion of a solute in a pulsating flow through a tube‖. Proc.Roy. Soc. Lond. A, 259, 370-376. 8. Arntzenius, A. C., Koops, J., Rodrigo, F.A., Elsbach, H. and Van Brummelen, A.G.W. (1970) ―Circulatory Effect of Body Acceleration given synchronously with the Heartbeat (BASH)‖. Bioblphy. Cardiol. 26, 180- 187.

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Page 1: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

125

1. Agarwal, S. (1994) ―Transport phenomena in Non- Newtonian fluids

flowing through circular curved tubes‖. Ph.D. thesis, Indian Institute of

Technology, Delhi, India.

2. Agarwal, S. and Jayaraman, G. (1994) ―Numerical simulation of

dispersion in the flow of Power-law fluids in curved tubes‖. Appl.

Math. Modeling 18:504-512.

3. Ananthakrishnan, V., Gill, W.N., and Barduhn, A.J. (1965) ―Laminar

dispersion in capillaries: Part I.‖, Mathematical Analysis, AIChE J. 11,

No: 6, 1063-1072

4. Anderson, H.V., Roubin, G.S., Leimgruber, P.P., Cox, W.R., Douglas,

J.S. Jr., King, S.B. and Gruentzig, A.R. (1986) ―Measurement of

transstenotic pressure gradient during percutaneous transluminal

coronary angioplasty‖. Circulation 73, 1223 - 1230.

5. Annapurna, N. and Gupta, A.S. (1979) ―Exact analysis of unsteady

MHD convective diffusion‖. Proc. Roy. Soc. A.367, 281-289.

6. Aris, R. (1956) ―On the dispersion of a solute in a fluid flowing through

a tube‖. Proc. Roy. Soc. Lond. A. 235: 67-77.

7. Aris, R. (1960) ―On the dispersion of a solute in a pulsating flow

through a tube‖. Proc.Roy. Soc. Lond. A, 259, 370-376.

8. Arntzenius, A. C., Koops, J., Rodrigo, F.A., Elsbach, H. and Van

Brummelen, A.G.W. (1970) ―Circulatory Effect of Body Acceleration

given synchronously with the Heartbeat (BASH)‖. Bioblphy. Cardiol.

26, 180- 187.

Page 2: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

126

9. Arntzenius, A.C., Laird J. D. , Noordergraaf A., Verdoun P.D., and

Hussian P. H. (1972) ―Body acceleration synchronous with heart

beat‖. Biblphy Cardiol. 29, 1-5.

10. Aroesty, J. and Gross, J.F. (1972a) ―The mathematics of pulsatile flow

in small blood vessels, I. Casson theory‖. Microvasc. Res. 4: 1-12.

11. Aroesty, J. and Gross, J.F. (1972b) ―Pulsatile flow in small blood

vessels I. Casson theory‖. Biorheology 9, 33-42.

12. Back, L. H. and Denton, T. A. (1992) ―Some arterial wall shear stress

estimates in coronary angioplasty‖. Adv. Bioengng 22, 337-340.

13. Back, L.H., Kwack, E.Y. and Back, M.R. (1996) ―Flow rate-pressure

drop relation in coronary angioplasty: catheter obstruction effect‖. J

Biomech Eng. 118, 83–89.

14. Bailey, H.R. and Gogarty, (1962) ―Numerical and experimental results

on the dispersion of a solute in a fluid in laminar flow through tube‖.

Proc. Roy. Soc. A, 269: 352-367.

15. Balasubramanian, V., Jayaraman, G., Iyengar, S. R. K. (1997) ―Effect of

secondary flows on contaminant dispersion with weak boundary

absorption‖. Appl Math. Modelling, 21, 275-285.

16. Balasubramanian, V., Jayaraman, G., Iyengar, S. R. K. (1999)

―Boundary retention effects upon contaminant Dispersion in secondary

flows‖. ZAMM, 79, No: 3: 1-18.

Page 3: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

127

17. Balasubramanian, V., Jayaraman, G., Iyengar, S. R. K. (2003)

―Influence of secondary flow on diffusion with heterogeneous

chemical reaction‖. Chemical Engineering Journal, 92, 15–26.

18. Bandyopadhyay, S., and Mazumder, B. S. (1999) ―Unsteady convective

diffusion in a pulsatile flow through a channel‖. Acta Mechanica, 134:

1-16.

19. Barnothy, M.F. (1964 - 1969), Biological effects of Magnetic fields,

Vols. 1 & 2, Pelnum Press, New york.

20. Batschelet, R. (1975) Introduction to mathematics for Life Sciences,

Berlin: Springer Verlag.

21. Berman, H.J. (1964) ―Rheological properties of the microvasculature‖.

Bibl. anat. 7, 29 – 34.

22. Bird, R. B., Stewart, W. E. and Lightfoot, E. N. (1960) Transport

Phenomena. John Wiley and Sons, New York.

23. Bjorno, L. and Petterson, H. (1976a) ―Hydro- and hemodynamic effects

of catheterization of vessels I. An experimental model‖. Acta Radiol.

Diagnosis, 17, 511.

24. Bjorno, L. and Petterson, H. (1976b) ―Hydro- and hemodynamic effects

of catheterization of vessels II. Model experiments comparing circular

and annular lumen area reduction‖. Acta Radiol. Diagnosis, 17, 749-

762.

Page 4: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

128

25. Bjorno, L. and Petterson, H. (1977a) ―Hydro- and hemodynamic effects

of catheterization of vessels III. Experiments with rigid-walled model‖.

Acta Radio. Diagnosis 18, 1-16.

26. Bjorno, L. and Petterson, H. (1977b) ―Hydro- and hemodynamic effects

of catheterization of vessels V. Experimental and clinical

catheterization of stenoses‖. Acta Radio. Diagnosis, 18, 193-209.

27. Boddington, T. and Clifford, A. A. (1983) ―The dispersion of a reactive

species (atomic hydrogen) in a flowing gas‖. Proc. Roy. Soc. Lond. A,

389: 179-196.

28. Bowden, K. F. (1965) ―Horizontal mixing in the sea due to a shearing

current‖. Journal of Fluid Mechanics, 21: 83-95.

29. Branover, H., Hunt, J.C.R., Proctor, M.R.E. and Pierson, E.S. (1979)

―Magnetohydrodynamic flows and turbulence‖: a report on the second

Bat-sheva seminar, J. fluid Mech. 91, 563-580.

30. Burton, R. R., Levercott Jr, S. D. and Michaelsow, E.D. (1974) ―Man at

High Sustained +G Acceleration: A Review‖. Aerospace, Med. 46:

1251-1253.

31. Caro, C. G. (1966) ―The dispersion of indicator flowing through

simplified models of the circulation and its relevance to velocity

profiles in blood vessels‖. J. Physiol. 185: 501-519.

32. Caro, C.G., Laver-Rudich,Z., Meyer, R., Livon, N., Ebel, W., Lever,

M.J. and Parker, K.H. (1980) ―Net albumin transport across the wall of

Page 5: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

129

the rabbit common carotid artery perfused in situ‖, Athrosclerosis, 37,

497-511.

33. Casson, N. (1959) ―A flow equation for pigment oil suspensions of

printing ink type‖. Rheology of Dispersed System (Edited by C.C.

Mill), 84-102, Pergamon press, Qxford.

34. Chang, Hasin-Kang and Mockros, L.F. (1971) ―Blood-gas transfers in

an axial flow annular exchanger‖. AIChE J., 17 (2), 397-401.

35. Charm, S. E. and Kurland, G. S. (1965) ―Viscometry of human blood for

shear rates of 0-100,000 sec-1

‖. Nature 206, 617-618.

36. Charm, S.E. and Kurland, G. S. (1972) Blood rheology. In

Cardiovascular Fluid Dynamics (edited by D. H. Bergel), 2: 158-204,

Academic Press, London.

37. Chaturani. P. and Ponnalagar Samy, R. (1986) ―Pulsatile flow of a

Casson fluid through stenosed arteries with application to blood

flow‖. Biorheology, 23: 499-511.

38. Chatwin, P.C. (1970) ―The approach to normality of the concentration

distribution of a solute in a solvent flowing along a straight pipe‖. J.

Fluid Mech., 43: 321-352.

39. Chatwin, P. C. (1975) ―On the longitudinal dispersion of passive

contaminant in oscillatory flows in tubes‖. Journal of Fluid Mechanics,

71: 513-527.

Page 6: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

130

40. Cho, Y.I., Back, L. H., Crawford, D.W. and Cuffel, R. F. (1983)

―Experimental Study of Pulsatile and Steady Flow Through a Smooth

Tube and an Atherosclerotic Coronary Artery Casting of Man‖, Journal

of Biomechanics 16, 933-946.

41. Cokelet, G. R. (1971) The rheology of human blood. In Biomechanics:

Its Foundation and Objectives (Edited by Y.C.Fung, N. Perrone and M.

Anliker), 63-103, Prentice Hall, Englewood cliffs , New Jersey.

42. Cokelet, G. R., Merrill, E. W., Gilliland, E. R., Shin, H., Britten, A. and

Wells, R. E. (1963) ―The rheology of human blood-measurement near

and at zero shear rate‖. Trans. Soc. Rheol. 7: 303-317.

43. Cole J. S. and Hartley, C. J. (1977) ―The pulsed Doppler coronary artery

catheter: preliminary report of a new technique for measuring rapid

changes in coronary flow velocity in man‖, Circulation 56, 18-25.

44. Cooney, D.O. (1976) ―Biomedical Engineering principles: An

introduction to fluids‖. Heat and Mass transport Processes, Marcell

Dekker, New York.

45. Cornhill J.F. and Roach, M.R. (1976) ―A quantitative study of the

localization of atherosclerotic lesions in the rabbit aorta‖.

Atherosclerosis. 23, 489-501.

46. Dash, R.K., Jayaraman. G. and Mehta, K.N. (1996) ―Estimation of

increased how resistance in a narrow catheterized artery – a theoretical

model‖. J. Biomechanics, 29 , No:7: 917-930.

Page 7: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

131

47. Dash, R. K., Jayaraman, G. and Mehta, K. N. (2000) ―Shear augmented

dispersion of a solute in a Casson fluid flowing in a conduit‖. Annals

of Biomed. Engg. 28, 4: 373-385.

48. Davidson, M. R. and Schroter, R. C. (1983) ―A theoretical model of

absorption of gases by the bronchial wall‖. J. Fluid Mech., 129:

313-335.

49. DeGance, A. E. and Johns, L. E. (1978a) ―The theory of dispersion of

chemical active solutes in a rectilinear flow field‖ Appl. Sci. Res. 34:

189-225.

50. Degance, A. E. and Johns, L. E. (1978b) ―On the dispersion coefficients

for poiseuille flow in a circular cylinder‖. Appl. Sci. Res., 34: 227-258.

51. DeGance, A. E. and Johns, L. E. (1980) ―On the construction of

dispersion approximations to the solution of the convective diffusion

equation‖. AIChE J., 3: 411-419.

52. Deshikachar, K.S. (1986), ― Magnetohydrodynamic flow and diffusion

in channels or pipes with some physiological applications‖, Ph.D.

Thesis, IISc, Banglore

53. Eklof, B. and Schwartz, S.I. (1970) ―Critical stenosis of the carotid

artery in the dog‖ Scand. J. Clin. Lab. Inver. 25, 349-353

54. El-shehawey, E. F., Elsayed, M. E., Afifi, N. A. S. and Mostafa

Elshahed (2000) ―MHD flow of an elastico-viscous fluid under

periodic body acceleration‖, Int. J. Math. Math. Sci. 23, 795–799.

Page 8: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

132

55. Evans, E.V.and Kenney, C. N. (1965) ―Gaseous dispersion in laminar

flow through a circular tube with mass transfers to a retentive layer‖.

Proc. Roy. Soc. Land. A, 284: 562-572.

56. Forrester, J.H. and Young, D.F. (1970) ―Flow through a converging –

diverging tube and its implications in occlusive vascular stenosis. J.

Biomechanics 3, 297-316.

57. Fry, D. L., Mallos, A. J. and Casper, A. G. T. (1956) ―A catheter tip

method for measurement of the instantaneous aortic blood velocity‖

Circulat. Res. 4, 627- 632.

58. Fry. D. L. (1968) ―Acute vascular endothelial changes associated with

increased blood velocity gradients‖, Circ. Res. 22, 165-197.

59. Fry. D. L. (1969) ―certain histological and clinical responses for the

vascular interface to acutely induced mechanical stress in artery of

dog‖. Circ. Res. 24, 165-197

60. Fry. D. L. (1973) ―Responses of arterial wall to certain physical factors.

In Atherogenesis: Initiating factors (Ed. by Perte R. and knight J.)‖.

Ciba foundation symposium 12: 93-125 Elsevier, Science Limited,

Amsterdam.

61. Fung, Y. C. (1981) Biomechanics: Mechanical Properties of Living

Tissue. Springer Verlag, New York.

62. Gabe, I. T. (1972) ―Pressure Measurements in Experimental Physiology.

Cardiovascular Fluid Dynamics‖. Academic Press, London, Vol. 1, 11-

50

Page 9: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

133

63. Ganz, P., Harrlngton, D.P., Caspar, J. and Barry W.H. (1983) ―Phasic

pressure gradients across coronary and renal artery stenoses In

humans‖. Am Heart J 106, 1399-1406.

64. Ganz, P., Abben, R., Friedman, P.L., Garnic, J.D., Barry, W.H. and

Levin, D.C. (1985) ―Usefulness of transstenotic coronary pressure

gradient measurements during diagnostic catheterization‖. American

Journal of Cardiology 55, 910 - 914.

65. Giddens, D. P. Mabon, R. F. and Cassanova, R. A. (1976)

―Measurements of disorder flow distal to subtotal vascular stenosis in

the thoracic aortas of canines‖. Circulation Res. 39: 112-119

66. Gill, W.N. and Ananthakrishnan, V. (1966) ―Laminar dispersion in

capillaries‖. Part II: Effect of inlet boundary conditions and turner

type of system capacitance, AICHE. J. 12: 906-915.

67. Gill, W.N. and Ananthakrishnan, V. (1967) ―Laminar dispersion in

capillaries‖. Part IV: The slug stimulus, AICHE. J. 13: 801-807.

68. Gill, W.N. (1967) ―A note on the solution of transient dispersion

problems‖. Proc. Roy. Soc. London, A, 298: 355-339.

69. Gill, W. N. and Sankarasubramanian, R. (1970) ―Exact analysis of

unsteady convective Diffusion‖. Proc. Roy. Soc. Lond. A 316: 341-

350.

70. Griffiths, A. (1911) Proc. Phys.Soc. Landon, 23:190.

Page 10: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

134

71. Gruentzig, A.R., Senning, A. and Siegeuthaler, W.E. (1979) ―Non-

operative dilatation of coronary artery stenosis‖. N Engl J Med. 301,

61–68.

72. Gupta, A.S. and Chatterjee, A.S. (1968) ―Dispersion of soluble matter in

the hydromagnetic laminar flow between two parallel plates‖, Proc.

Camb. Phil. Soc 64, 1209-1214.

73. Gupta, P. S. and Gupta, A. S. (1972) ―Effect of Homogeneous and

Heterogeneous Reactions on the Dispersion of a Solute in the Laminar

Flow Between Two Plates‖. Proc. R. Soc. Lond. A, 26 vol. 330,

59-63.

74. Haldar, K. and Ghosh, S.N. (1994) ―Effect of magnetic field on blood

flow through an indented tube in the presence of erythrocytes‖. Indian

J. Pure Appl. Math. 25, 345-352.

75. Hartley, C. J. and Cole, J. S. (1974) ―Ultrasonic pulsed Doppler system

for measuring blood flow in small vessels‖. J Appl Physiol 37,

626-629.

76. Hiatt, E. P., Meechan, J.P. and Galambos (1969) Reports on human

acceleration. Publication 901. NAS-NRC. Washing. D.C., USA.

77. Jaeger, M.J. and Kurweg, U.H. (1983) ―Determination of the

longitudinal dispersion coefficients in flows subjected to high

frequency oscillations‖. Phys. Fluids, 26, 1380-1382.

Page 11: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

135

78. Jayaraman, G., Lautier, A., Bui-Mong Hung, Jarry G. and Laurent D.

(1981) ―Numerical scheme for modelling oxygen transfer in tubular

oxygenators‖, Med. Biol. Engg. Comput. 19, 524-534.

79. Jayaraman, G. (1983) ―Water transport in the arterial wall – a theoretical

study‖. J .Biomechanics, 16, No: 10, 833-840.

80. Jayaraman, G., Pedley, T. J. and Goyal, A. (1998) ―Dispersion of solute

in a fluid flowing through a curved tube with absorbing walls‖.

QJMAM, 51, No: 4: 577-598.

81. Jiang, Y. and Grotberg, J. B. (1993) ―Bolus contaminant dispersion in

oscillatory tube flow with conductive walls‖. J. Biomech. Engg, Trans.

ASME 118, 333–340.

82. Jiang, Y. and Grotberg, J. B. (1996) ―Bolus contaminant dispersion for

oscillatory flow in a curved tube‖. J. Biomech. Engg., Trans. ASME

118, 333–340.

83. Jimenez, C. and Sullivan, P. J. (1984) ―Contaminant dispersion in some

time-dependent laminar flows‖. Journal of Fluid Mechanics, vol. 142,

57-77.

84. Joshi, C. H., Kamm, R. D., Drazen, J. M. and Slutsky, A. S. (1983) ―An

experimental study of gas exchange in laminar oscillatory flow‖. J.

Fluid Mech. 133, 245–254.

85. Kanai, H., Izuka, M. and Sukanto, K. (1970) ―One of the Problems in

the Measurement of Blood Pressure by Catheter- Insertion: Wave

Page 12: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

136

Reflection at the Tip of the Catheter‖. Med. & Biol. Engng. & Compt.

8: 483-496.

86. Katz, L.N. and Kolin, A. (1938) ―The flow of blood in the carotid artery

of the dog under various circumstances as determined with the

electromagnetic flow meter‖. Am. J. Physiol., 122, 788.

87. Kolin, A. (1936) ―Electromagnetic flow meter: principle of method and

its applications to blood flow measurement‖. Proc. Soc. Exp Biol.

Med, 35, 53.

88. Korchevskii, E.M. and Marochnik, L.S. (1965) ―Magneto hydrodynamic

version of movement of blood‖, Biophysics, 10, 411-414.

89. Lee, J.S. and Fung, Y.C. (1970) ―Flow in locally constraicted tubes at

low Reynolds numbers‖. J. Appl.Mech. Trans. Am.Soc. Mech. Engnrs

Ser. E.37, 9-16.

90. Lees, R. S. and Dewey, C. F. (1971) ―Phonoangiography: A new non-

invasive method for arterial disease‖. Proc. natn Acad. Sci. U.S.A. 67,

935-942.

91. Lever, M.J. (1981) Some aspects of macromolecule transport in the

artery wall - The rheology of blood. Blood vessels and Associated

Tissues (Ed. By D.R. Gross and N.H.C. Hwang), 337-345.

92. Liepsch, D., Singh, M. and Martin, L. (1992) ―Experimental analysis of

the influence of stenotic geometry on steady flow’. Biorheology 29,

419-431.

Page 13: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

137

93. Lightfoot, E.N. (1974) Transport phenomena in living system, John

Wiley & Sons, New York.

94. Lighthill, M.J. (1966) ―Initial development of diffusion in Poiseuille

flow‖. J. Inst. Maths. Applics 2, 97-108.

95. Lungu, E. M. and Moffat, H. K. (1982) ―The effect of wall conductance

on heat diffusion in duct flow‖. J. Engg. Math., 16:121-136.

96. Macfarlane, R. G (1961) ―The reactions of blood to injury. In Functions

of the Blood‖. (Edited by R. C. Macfarlane and A. H. T. Robb-Smith.

A.H.T), Academic Press, London, 303 – 347.

97. May, A.G., Deweese J.A. and Rob, C.G. (1963) ―Hemodynamic effects

of arterial stenosis, Surgery 53, 523-524.

98. Mazumder B. S. and Samir K. Das (1992) ―Effect of boundary reaction

on solute dispersion in pulsatile flow through a tube‖. Journal of Fluid

Mechanics, 239: 523-549.

99. McDonald, D. A. (1974) Blood flows in Arteries. Edward Arnold,

London.

100. McDonald, D.A. (1986) ―Pulsatile flow in a catheterized Artery‖. J.

Biomechanics. 19, 239-249.

101. McMahon, T. A., Clark, C., Murthy, V. S. and Shapiro, A. H. (1971)

“Intra-aortic balloon experiments in a lumped-element hydraulic model

of the circulation‖. J. Biomech. 4:335–50.

Page 14: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

138

102. Mekheimer, K.S. (2004) ―Peristaltic flow of blood under effect of a

magnetic field in a nonuniform channels‖. Appl. Math. Comput. 153,

763–777.

103. Merrill, E. W. and Wells, R. E. (1961) ―Flow properties of biological

fluids‖. Appl. Mech. Rev., 14, 663-673.

104. Merrill, E.W., Gilliland, E.R., Cokelet, G.R., Brittain, A., Shin, H. and

wells, R.E. (1963a) ―Rheology of blood flow in microcirculation‖.

Jour. Appl. Physiol. 18:255-260.

105. Merrill, E.W., Gilliland, E.R., Cokelet, G.R. Brittain, A., Shin, H. and

Wells, R.E. (1963b) ―Rheology of human blood near and zero flow:

effects of temperature and hematocrit levels‖. Biophy. Jour.3: 199-213.

106. Merrill, E.W., Benis, A. M., Gilliland, E. R., Sherwood, T.K. and

Salzman, E.W. (1965) ―Pressure flow relations of human blood in

hollow fiber at low shear rates‖. Jour. Appl. Physiol. 20, 954-967.

107. Merrill, E.W. and Pelletier, G. A. (1967) ―Viscosity of Human blood:

Transition from Newtonian to non- Newtonian‖. Jour.Appl.Physiol.33,

178.

108. Merrill, E.W. (1969) Rheology of blood. Physiol. Rev. 49: 863-888.

109. Middleman, S. (1972) Transport Phenomenon in the Cardiovascular

System, John Wiley & Sons, New York.

Page 15: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

139

110. Midya, C., Layek, G.C., Gupta, A.S. and Ray Mahapatra, T. (2003)

―Magnetohydrodynamic viscousflow separation in a channel with

constrictions‖. J. Fluids Engg. Vol. 125, 952–962.

111. Mills, C.J. (1972) ―Measurement of pulsatile flow and velocity. In

Cardiovascular fluid dynamics (Edited by Bergel, D.H.,) vol. 1, 51-90.

Academic Press. London.

112. Milnor, W. R. (1982) Hemodynamics. Baltimore: Williams and

Williams.

113. Misra J.C., Pal B. and Gupta A.S. (1998) ―Hydromagnetic flow of a

second-grade fluid in a channel - Some application to physiological

systems‖. Math. Models and Methods in Appl. Sci. Vol. 8, 1323–1342.

114. Mitchell, J.R.A. and Schwartz, C.J. (1965) Arterial Diseases. F.A.

Davis Co. Philadelphia.

115. Moore, J.A., Ethier, C.R. (1997) ―Oxygen mass transfer calculations in

large arteries‖. J Biomech Eng. 119:469-475.

116. Moulopoulos, S. D., Topaz, S. and Kolfi, W. J. (1962) ―Diastolic

balloon pumping (with carbon dioxide) in the aorta—a mechanical

assistance to the failing circulation‖. Am. Heart, Jour. 63, 669-675.

117. Murthy, V.S., McMahon, T.A., Jaffrin, M.Y. and Shapiro, A. H.

(1971) ―The intra-aortic balloon for left heart assistance: an analytic

model‖. J Biomech 4, 351–67.

Page 16: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

140

118. Nagarani, P., Sarojamma, G. and Jayaraman, G. (2004) ―Effect of

boundary absorption in dispersion in Casson fluid flow in a tube‖.

Annals of Biomedical Engineering, Vol. 32, No. 5, 706-719.

119. Nagarani, P. and Sarojamma, G. (2008) ―Effect of body acceleration

on pulsatile flow of Casson fluid through a mild stenosed artery‖.

Korea – Australia Rheology Journal, 20(4), 189-196.

120. Nerem, R. M. and Seed, W. A. (1972) ―An in vivo study of aortic flow

disturbances‖. Cardiovasc. Res. 6:1-14.

121. Pavlov, K.B. (1974) ―Magnetohydrodynamic flow of an

incompressible viscous fluid caused by deformation of a plane surface‖

Magnitnaya Gidrodinamika, Vol. 4, 146–147.

122. Phillips, C. G., Kaye, S. R. and Robinson, C. D. (1995) ―Time –

dependent transport by convection and diffusion with exchange

between two phases‖. J. Fluid Mech., 297, 373- 401.

123. Pieper, H.P. (1964) ―Catheter-tip flow meter for coronary arterial flow

in closed-chest dogs‖. J Appl. Physiol 19, 1199-1201.

124. Pieper, H.P. (1966) ―Catheter-tip instrument for measuring left

ventricular diameter in closed-chest dogs‖. J Appl Physiol 21, 1412-

1416.

125. Pieper, H.P. and Paul, L. T. (1968) ―Catheter-tip gauge for measuring

blood flow velocity and vessel diameter in dogs‖. J Appl Physiol. 24,

259- 261.

Page 17: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

141

126. Purnama, A. (1988) ―Boundary retention effects upon contaminant

dispersion in parallel flows‖. J. Fluid Mech., 195: 393-412.

127. Ramana, B. (2011) ―Study of dispersion in some fluid flows –

Applications to blood flows‖. Ph.D. Thesis, Sri Padmavati Mahila

Visvavidyalayam, Tirupati, Andhra Pradesh, India.

128. Ramana, B. and Sarojamma, G. (2011) ―Effect of body acceleration on

dispersion of solutes in blood flow‖. Acta Mechanica 219, 357-370.

129. Rao, A.R. and Deshikachar, K.S. (1987) ―An exact analysis of

unsteady connective diffusion in an annular pipe‖. ZAMM, 67, No:

3: 189-195.

130. Rathod, V.P. and Tanveer, S. (2009) ―Pulsatile flow of couple stress

fluid through a porous medium with periodic body acceleration and

magnetic field‖. Bull. Malays. Math. Sci. Soc. 32, 245-259.

131. Reejhsinghani, N. S., Gill, W.N. and Barduhn A.J. (1966) ―Laminar

dispersion in capillaries: Part III. Experiments in horizontal tubes

including observations on natural convection effects‖. A.I.Ch.E.J. 12:

916-923.

132. Roach, M. R. and Smith, N. R. (1983) ―Does high shear stress induced

by blood flow lead to atherosclerosis?‖. Persp. Biol. Med. 26, 287-303.

133. Roach, M.R. (1972) Post-stenotic dilation in arteries. Cardiovascular

Fluid Dynamics (Edited by Bergel, D.H., Vol.2, Academic Press, New

York.

Page 18: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

142

134. Roos, R. and Lykoudis, P.S. (1970) ―The fluid mechanics of the

ureter with an inserted catheter‖. J. Fluid Mech. 46: 625-630.

135. Sachin Shaw, Murthy, P.V.S.N and Pradan, S.C. (2010) ―The effect of

body acceleration on two dimensional flow of Casson fluid through an

artery with asymmetric stenosis‖, the open transport phenomena

journal 2, 55-68.

136. Sankar, D.S. and Hemalatha, K. (2006) ―Pulsatile flow of Herschel-

Bulkley fluid through stenosed arteries - A mathematical model‖.

International Journal of Non-Linear Mechanics 41, 979-990.

137. Sankar, D. S. and Hemalatha, K. (2007) ―Pulsatile flow of Herschel-

Bulkley fluid through catheterized arteries-A mathematical model‖,

Applied Mathematical Modeling 31, 1497 – 1517.

138. Sankarasubramanian, R and Gill, W.N. (1973) ―Unsteady convective

diffusion with interphase mass transfer‖. Proc. Roy. Soc. London, A

333: 115-132.

139. Sanyal, D.C. and Maiti, A.K. (1998) ―On pulsatile flow of blood

through a stenosed artery‖. Indian J. Math. 40, 199-213.

140. Sanyal, D.C., Das, K. and Debnath, S. (2007) ―Effect of magnetic field

on pulsatile blood flow through an inclined circular tube with periodic

body acceleration‖. J. Phys. Sci. 11, 43-56.

141. Sarkar, A. and Jayaraman, G. (2002) ―The effect of wall absorption on

dispersion in annular flows‖. Actamecahnica, 158, 105-119.

Page 19: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

143

142. Sarkar, A. and Jayaraman, G. (2004) ―The effect of wall absorption on

dispersion in oscillatory flow in an annuals‖. Actamecahnica, 172,

151-167.

143. Scott Blair, G. W. (1959) ―An equation for flow of blood serum

through glass tubes‖. Nature 183: 613-614.

144. Sharp, M. K. (1993) ―Shear augmented dispersion in non- Newtonian

fluids‖. Ann. Biomed. Engg. 21: 407-415.

145. Siddheshwar, P. G. and Markande, S. (1999) ―Unsteady convective

diffusion of solute in a Micro polar fluid flow through a cylindrical

tube‖. ZAMM, 12: 821-833.

146. Smith, R. (1982 a) ―Contaminant dispersion in Oscillatory flows‖.

Journal of Fluid Mechanics 114, 379-398.

147. Smith, R. (1982 b) ―Non-uniform discharges of contaminants in shear

flow‖, ibid. 120, 71–89.

148. Smith, R. (1983) ―Effect of boundary absorption upon longitudinal

dispersion in shear flows‖. J. Fluid Mech. 134, 161-177.

149. Srinivasacharya, D., Radhakrishnamacharya, G., and Srinivasulu, Ch.

(2007) ―Influence of Wall Properties on Peristalsis in the presence of a

Magnetic Field‖. Int. J of Fluid Mech. Res. 34, 374-386.

150. Stehbens, W.E. (1967) ―Early intravascular platelet agglutination‖.

Bibl Anat. 9, 82- 84.

Page 20: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

144

151. Sud, V. K., Suri, P.K. and Mishra, R. K. (1974) ―Effect of Magnetic

field on oscillating blood flow in arteries‖. Studia Biophysica, 46,

163-171.

152. Sud, V.K., Sekhon, G.S. and Mishra, R.K. (1977) ―Pumping action of

blood by a magnetic field‖, Bull.Math.Biol, 39, 385-390.

153. Sud, V. K., Suri, P.K. and Mishra, R. K. (1978) ―Laminar flow of

blood in an elastic tube in the presence of magnetic field‖. Studia

Biophysica, 69, 175-186.

154. Sud, V. K. and Sekhon, G. S. (1985) ―Arterial flow under

periodic body acceleration‖. Bull. Math. Biol. 47: 35-52.

155. Taylor, G. I. (1953) ―Dispersion of a soluble matter in solvent flowing

slowly through a tube‖. Proc. Roy. Soc. London. A. 219, 186-203.

156. Taylor, G. I. (1953) ―Dispersion of a soluble matter in solvent flowing

slowly through a tube‖. Proc. Roy. Soc. London. A. 219: 186-203.

157. Taylor, G. I. (1954a) ―Conditions under which dispersion of a solute in

a stream of solvent can be used to measure molecular diffusion‖, Proc.

Roy. Soc. A., 225, 473–477.

158. Taylor, G. I. (1954b) ―The Dispersion of Matter in Turbulent Flow

through a Pipe‖, Proc. Roy. Soc. A, 223, 446–468.

159. Texon, M. (1963) ―The role of vascular dynamics in the

development of a atherosclerosis‖. Atherosclerosis and itsoriging

Page 21: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

145

(edited by Sandler, M. and Bournue G.H.), Academic Press, New

York.

160. Truskey, G.A., Colton, C.K. and Smith, K.A. (1981) Structure and

function of the circulation (Ed. By C.J. Schwartz, N.T. Wertherssen

and S.Wolf), 3. Plenum Press, Newyork.).

161. Tu, C. and Deville, M. (1996) ―Pulsatile flow of non-Newtonian fluids

through arterial stenoses,‖ J. Biomech., 29, 899–908.

162. Vardanyan, V.A. (1973) ―Effect of a magnetic field on blood flow‖,

Biophysics 18, 515-521.

163. Verdouw, P.D., Noordergraaf, A., Arntzenius, A.C. and Huisman, P.H.

(1973) ―Relative movement between subject and support in body

acceleration applied synchronously with the heart beat‖. Bibphy

Cardilo.31, 57-62.

164. Watson, E. J. (1983) ―Diffusion in oscillatory pipe flow‖. J. Fluid

Mech. 133, 233–244.

165. Wesolowski, S.A., Fries, C.C., Sabina, A.M. and Sawyer, P.N (1965)

Turbulence, Intermal injury and atherosclerosis. Mechanism in

vascular Hemeostasis and Intravascular. Thrombosis (Edited by

Sawyer, P.N.) Appleton, century, Croft, New York.

166. Whitemore, R. L. (1968) Rheology of the Circulation. Pergaman

Press, New York

Page 22: 1. Agarwal, S. (1994) ―Transport phenomena in Non ...shodhganga.inflibnet.ac.in/bitstream/10603/6714/12/12_references.pdf · 1. Agarwal, S. (1994) ―Transport phenomena in Non-

146

167. Wilson, R.F., Johnson, M.R., Marcus, M.L., Aylward, P.E.G., Skorton,

D.J., Collings, S. and White, C.W. (1988) ―The effect of coronary

angioplasty on coronary flow reserve‖. Circulation 77, 873-885.

168. Wolf, S., and Werthessen. N.T. (1976) Dynamics of Arterial flow

(Advances in Experimental Medicine and Biology Vol. 115) Chap. 2:

Fluid mechanics of Arterial flow, 55 – 103.

169. Womersley, J.R. (1958) ―Oscillatory flow in arteries II. The reflection

of the pulse wave at junctions and rigid inserts in the arterial system‖.

Phys. Med. and Biol. 2, 313-323.

170. Yamartino, E., Bratzler, R., Colton, C., Smith, K. and Lees, R. (1974)

―Hydraulic permeability of arterial of arterial tissue‖, Circulation, 50,

Suppl. III, 273.

171. Young D. F. (1968) ―Effects of a Time-dependent Stenosis of Flow

through a Tube‖. Journal of Eng. Ind. 90, 248-254.

172. Yu, J.S. (1976) ―An approximate analysis of laminar dispersion in

circular tubes‖. J. App.Mech., 537-542.

173. Yu, J.S. (1979) ―On laminar dispersion for flow through round tubes‖.

J. Appl. Mech., Trans. ASME 46: 750-756.

174. Yu. J.S. (1981) ―Dispersion in laminar flow through tubes by

simultaneous diffusion and convection‖. J. Appl. Mech. Trans. ASME,

48: 217 – 223.