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国际计算热科学期刊
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN 打印: 1940-2503
ISSN 在线: 1940-2554

国际计算热科学期刊

DOI: 10.1615/ComputThermalScien.2020030316
pages 117-132

MHD FREE CONVECTION AND SINUSOIDAL HEATING IN A WAVY CAVITY FILLED WITH A HEAT-GENERATING POROUS MEDIUM USING CU-WATER NANOFLUIDS

Sameh Elsayed Ahmed
Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt; Department of Mathematics, Faculty of Science for Girls, Abha, King Khalid University, Saudi Arabia
M. A. Mansour
Department of Mathematics, Faculty of Sciences, Assiut University, Assiut, Egypt
Ahmed M. Rashad
Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt
Z. Morsy
Department of Applied Science, Faculty of Engineering & Tech Arab Academy for STMT, Aswan, Egypt

ABSTRACT

In this paper, effects of an inclined magnetic field and internal heat generation on free convective flow in a sinusoidal heated wavy cavity filled with a heat-generating porous medium utilizing Cu-water nanofluids are examined. The governing equations and boundary conditions are converted to dimensionless forms in a stream function formula and solved numerically using an implicit finite-difference method. The outcomes are represented in terms of the streamlines, isotherms, and local Nusselt numbers at the sinusoidal heated and wavy walls. The flow field and temperature distributions in the cavity are affected by the waviness of the right wall. Also, it is found that the local Nusselt numbers at the left and right walls decrease as the Hartmann number increases, regardless of the values of the inclination angle. In addition, the increase in the amplitude parameter A causes an increase in the local Nusselt number at the left wall while the local Nusselt number at the wavy wall decreases. Moreover, the absolute value of the stream function decreases by 31.8% as the undulation parameter increases from 1 to 5.

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