000			01912aab a2200205 4500
008			240111b1989 |||mr||| |||| 00| 0 eng d
022			_a0017-9310
100			_aMohamad, A.A. _9717267
100			_aViskanta, R. _9138618
245			_aStability of Lid-Driven Shallow Cavity Heated from Below
300			_a2155-2166 p.
520			_aHydrodynamic and thermal stability of combined thermal buoyancy and lid-driven shear flow in a shallow cavity is analyzed by means of linearized perturbation theory. The analysis considers a cavity heated from below and cooled at the upper moving lid. A numerical procedure, which has generality with respect to boundary conditions, Reynolds, and Prandtl numbers, is described for solution of the linearized model equations. A direct numerical integration (Runge-Kutta with Newton-Raphson) method is used to solve the differential conservation equations. This method gives an exact result for the classical Benard problem where the flow becomes unstable at a critical Rayleigh number, Rac = 1707.76. The numerical results show the existence of two critical wave numbers depending on whether the dominant force driving the flow is due to buoyancy or shear. For Pr ⩽ 0.1 the instability is due to the buoyancy force for constant heat flux boundary conditions, while for Pr = 1 the instability is due to the shear force. Increasing the Reynolds number stabilizes the flow, and reducing the Prandtl number makes the flow more unstable.
650			_aThermal Buoyancy _9877331
650			_aLid-Driven Shallow Cavity Heated _9879708
650			_aThermal Stabililty _9879709
650			_aHydrodynamic _9696741
773	0		_dNew York, U.S.A : Pergamon Subsidiary of Elsevier Science & Technology _tInternational Journal of Heat and Mass Transfer _x00179310
856			_uhttps://www.sciencedirect.com/science/article/pii/0017931089901221
942			_2ddc _n0 _cART _o14993 _pMr. Muhammad Rafique Al Haj Rajab Ali (Late)
999			_c814664 _d814664