Temperature Dependence on Transient Hydrodynamic Gravity Driven Flow Down an Inclined Plane

Abstract

Transient hydrodynamic gravity driven flow of a viscous incompressible fluid down an inclined plane occupying a semi-infinite region of space bounded by an infinite hot plate is studied. The effect of modified Froude number plays an important role in determining the flow situation. Exact solution is obtained by employing Laplace transform method. This problem is concerned with a car – following theory subjected to traffic flow with a decisive importance to a variation of depth with a slope leading to a flood wave. A reducible influence of a frictional drag has an active influence to the flow reversal characteristics with time variation satisfying the separation due to the existance of a modified Froude number. The stabitity of a roll wave is determined by the critical Froude number in a time varying flow. Numerical results of velocity distributions and frictional shear stress are depicted graphically for different values of flow parameters. Numerical results of a critical Froude number are presented in tables. Temperature analysis has been presented analytically with a view to point out the expression of Nusselt number at the plate.