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Sharma, Ram Prakash; Indumathi, N.; Saranya, S.; Ganga, B.; Hakeem, A. K. Abdul

Radiative unsteady rarefied gaseous flow over a stretching sheet with velocity slip and temperature jump effects. (English) Zbl 1474.76072

J. Indian Math. Soc., New Ser. 87, No. 3-4, 261-275 (2020).
Summary: In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.

MSC:

76N15 Gas dynamics (general theory)

Keywords:

microfluidics; boundary layer; velocity slip and thermal jump; shooting technique; rarefied gas flow
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