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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Печать: 2151-4798
ISSN Онлайн: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.2020028926
pages 541-559

UNSTEADY MHD STAGNATION POINT FLOW OF PRANDTL NANOFLUID OVER AN EXPONENTIALLY STRETCHING/SHRINKING SHEET WITH SUCTION/INJECTION AND PARTIAL SLIP

Hameda M. Shawky
Department of Mathematics, Faculty of Science, Al-Azhar University [Girls Branch], Nasr City 11754, Cairo, Egypt
Nabil T. M. Eldabe
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt
Kawther A. Kamel
Department of Mathematics, Faculty of Science, Al-Azhar University [Girls Branch], Nasr City 11754, Cairo, Egypt
Esmat A. Abd-Aziz
Department of Mathematics, Faculty of Science, Al-Azhar University [Girls Branch], Nasr City 11754, Cairo, Egypt

Краткое описание

The present analysis is carried out to study the two-dimensional unsteady magnetohydrodynamic (MHD) stagnation point flow with heat transfer characteristics of Prandtl nanofluid flow over an exponentially permeable stretching/shrinking sheet in the presence of transverse magnetic and electric fields with heat source/sink. The partial slip at the boundary, convective thermal, and mass boundary conditions are considered. A similarity transformation is used to convert the governing partial differential equation to coupled higher order nonlinear ordinary differential equations. The simplified nonlinear boundary value problem is solved numerically by using the fourth-order Runge-Kutta method with a shooting technique. The effects of various controlling flow parameters on the dimensionless velocity, temperature, and nanoparticle volume fraction, as well as the skin friction, local Nusselt, and local Sherwood profiles, are discussed numerically and illustrated graphically. The effect of increasing the inclination angle parameter is to suppress the velocity of the flow. An increase in the Prandtl number reduces the flow temperature, while an increase in the value of the Soret parameter causes an increase in the concentration of the fluid. Also, increasing the velocity slip parameter reduces the velocity profile, whereas increasing the heat generation parameter increases the temperature profile. Some of the special results are compared with previous published works.

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