Free Convection Effects on the Unsteady Laminar BoundaryLayer Flow Past a Porous Limiting Surface with Uniform Suction in Stellar Atmospheres
Abstract
Unsteady twodimensional free convection flow of a viscous fluid (e.g., of a stellar atmosphere) past a porous limiting surface (e.g., of a star) through which suction with uniform velocity occurs is considered when the freestream velocity and the temperature of the limiting surface are arbitrary functions of time. General solution of the equations governing the flow is obtained in closed form with the help of twosided Laplace transform technique under the assumption that there exists a mean steady flow to which is superimposed the unsteady flow. Further, in order to demonstrate the applications of the results of the general theory, four particular cases have been considered by prescribing physically acceptable different timedependent forms to the temperature of the limiting surface and to the freestream velocity. The results thus obtained for these four cases are discussed quantitatively.
 Publication:

Astrophysics and Space Science
 Pub Date:
 January 1979
 DOI:
 10.1007/BF00648248
 Bibcode:
 1979Ap&SS..60..125P
 Keywords:

 Free Convection;
 Laminar Boundary Layer;
 Porous Boundary Layer Control;
 Stellar Atmospheres;
 Acceleration (Physics);
 Flow Velocity;
 Oscillating Flow;
 Skin Friction;
 Suction;
 Two Dimensional Flow;
 Unsteady Flow;
 Astrophysics