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THE EFFECTS OF SUCTION ON FORCED CONVECTION BOUNDARY LAYER STAGNATION POINT SLIP FLOW IN A DARCY POROUS MEDIUM TOWARDS A SHRINKING SHEET WITH PRESENCE OF THERMAL RADIATION: A STABILITY ANALYSIS

Volume 21, Issue 7, 2018, pp. 623-636
DOI: 10.1615/JPorMedia.2018019722
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ABSTRACT

The stagnation-point flow in a Darcy porous medium toward a shrinking sheet with the presence of thermal radiation, suction, velocity, and thermal slips is numerically studied. The partial differentiation equations have been transformed into ordinary differentiation equations by a similarity transformation. Numerical results show the existence of dual solutions in a certain range of the governing parameters. A stability analysis to identify which solutions are stable and physically realizable by using the bvp4c solver implemented in Matlab has also been presented.

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