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多孔介质期刊
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ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.2018019722
pages 623-636

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

Shahirah Abu Bakar
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Norihan Md. Arifin
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Roslinda Nazar
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
Fadzilah Md. Ali
Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia; Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Norfifah Bachok
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Ioan Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

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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