Insights into the Stability of Mixed Convective Darcy–Forchheimer Flows of Cross Liquids from a Vertical Plate with Consideration of the Significant Impact of Velocity and Thermal Slip Conditions

Umair Khan, Aurang Zaib, Ilyas Khan, Kottakkaran Sooppy Nisar and Dumitru Baleanu
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Umair Khan: Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, Pakistan
Aurang Zaib: Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi 75300, Gulshan-e-Iqbal, Pakistan
Ilyas Khan: Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Dumitru Baleanu: Department of Mathematics, Cankaya University, Ankara 06790, Turkey

Mathematics, 2019, vol. 8, issue 1, 1-20

Abstract: This paper reflects the effects of velocity and thermal slip conditions on the stagnation-point mixed convective flow of Cross liquid moving over a vertical plate entrenched in a Darcy–Forchheimer porous medium. A Cross liquid is a type of non-Newtonian liquid whose viscosity depends on the shear rate. The leading partial differential equations (PDEs) are altered to nonlinear ordinary differential equations (ODEs) via feasible similarity transformations. These transmuted equations are computed numerically through the bvp4c solver. The authority of sundry parameters on the temperature and velocity distributions is examined graphically. In addition, the characteristics of heat transfer are analyzed in the presence of the impact of drag forces. The outcomes reveal that the permeability parameter decelerates the drag forces and declines the rate of heat transfer in both forms of solutions. Moreover, it is found that the drag forces decline with the growing value of the Weissenberg parameter in the upper branch solutions, while a reverse trend is revealed in the lower branch solutions. However, the rate of heat transfer shows a diminishing behavior with an increasing value of the Weissenberg parameter.

Keywords: slip effects; mixed convection flow; cross fluid; Darcy–Forchheimer model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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