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Abstract This investigation is devoted to study the effect of suction on the stability criteria of a fluid layer confined between two parallel thin-porous plates differentially heated, by applying linear stability theory. The studed model was simulated by an inclined slender slot, with uniform cross flow, subjected to preseri’hed wall temperatures. In addition, the effect of prescribed heat flux at the hot wall on the present problem was also investigated. Suction effect was studied for a wide range of Peclet number 0,<Pe, < 20, and the fluid properties were also varied by changing the Prandtl number, 0-72,< ,pr,<, 100 Furthermore, the effect of inclination angle on the forment:Loned problem was considered by varying the orientation from the horizontal case to the vert¬ical one. An optimum design of a flat-plate solar air heater, in which air flows perpendicular from the transparent cover to the porous absorber, was considered. The stability analysis was applied to determine the critical distance between the absorber and cover plates for suppressing convection currents-In addtion, the thermal performance of this solar air heater was 3omputed at various operating_ conditions, |