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!