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Prof. Kune Y. Suh [email protected] TA: Shamim Jubair Ahmed & Palash Kumar Bhowmik

SEH Hydrodynamics Primer Problems

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SEH Hydrodynamics Primer Problems

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  • Prof. Kune Y. [email protected]

    TA: Shamim Jubair Ahmed & Palash Kumar Bhowmik

  • Hydrodynamics Primer

    Contents Physics of Fluid Dimensions & Units Vector Algebra and Calculus

  • Dimensions and Units

    Taken from: Introduction to Fluid Mechanics, PRITCHARD & LEYLEGIAN, 8th Edition

  • Derived Units

  • Definitions

  • Conversion Factors

  • Problem-1For low-speed (laminar) steady flow through a circular pipe, as shown in thefollowing, the velocity u varies with radius and takes the form:

    Where is the fluid viscosity and p is the pressure drop from entrance to exit. What are the dimensions of the constant B? (Ans: L-1)

  • Newtons Law of Viscosity

  • Non-Newtonian Fluid

  • Problem-2A thin plate is separated from two fixed plates by very viscous liquids 1 and 2, respectively,as in following figure. The plate spacings h1 and h2 are unequal, as shown. The contact areais A between the center plate and each fluid.

    (a) Assuming a linear velocity distribution in each fluid, derive the force F requiredto pull the plate at velocity V.

    (b) Is there a necessary relation between the two viscosities,1 and 2?

  • Problem-3

  • Problem-3

  • Problem-3

  • Problem-3

  • Problem-4