Alpha Disc Model in Accretion Disks
Hongyu GongXiamen University
• 1. Background• 2. Analysis• 3. Numerical method• 4. Conclusion
Accretion Disks
• An accretion disc is a structure (often a circumstellar disk) formed by diffuse material in orbital motion around a massive central body.
Accretion Disks
α-Disc Model
• By using the equation of hydrostatic equilibrium, combined with conservation of angular momentum and assuming that the disc is thin, the equations of disk structure may be solved in terms of the parameter.
Equations
Parameters and Boundary Conditions
Numerical Method
Numerical Method
• f1(p,Fz,T)=-3*kes*p*Fz/(4*c*a*T*T*T);
• f2(p,T)=alpha*(p*kb*T/(u*mp)+1/3*a*T*T*T*T)*W*g;
• f3(p,Fz,T)= p*u*mp/(T*kb)*(kes*Fz/c-W*W*z)+3*kes*p*p*Fz/(4*c*a*T*T*T*T);
Numerical Method
Solutions
• T-z
Solutions
• rho-z
Solutions
• Fz-z
Solutions
Thank you!