Three dimensional flow of Cross nanofluid over bidirectional moving surface in Darcy-Forchheimer medium with Cattaneo-Christov heat flux

被引:6
作者
Azam, Muhammad [1 ]
Khan, Waqar Azeem [2 ]
Nayak, Manoj Kumar [3 ]
机构
[1] Yulin Univ, Sch Math & Stat, Yulin 719000, Peoples R China
[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Dept Math, POB 80257, Jeddah 21589, Saudi Arabia
[3] Siksha O Anusandhan Univ, Dept Mech Engn, ITER, Bhubaneswar 751030, India
关键词
Three dimensional flow; Cross nanofluid; Cattaneo-Christov heat flux; Darcy Forchheimer; Bidirectional moving surface; BOUNDARY-LAYER-FLOW; STRETCHING SURFACE; SHEET; MODEL;
D O I
10.1016/j.csite.2023.103250
中图分类号
O414.1 [热力学];
学科分类号
摘要
The main purpose of this study is to present the mathematical modeling of steady three dimensional boundary layer flow of incompressible non-Newtonian Cross nanofluid over a bidirectional stretching surface. The Buongiorno nanofluid model and Cattaneo-Christov heat flux model are also assumed in present work. It is considered that bidirectional stretching sheet is embedded in Darcy-Forchheimer porous media. Additionally, the motion of fluid flow is induced due to the bidirectional stretching surface. Boundary layer theory is invoked to model the basic partial differential equations of current study. The modeled partial differential equations are reduced to ordinary differential equations with the assistance of appropriate transformation and then solved numerically through Runge Kutta Fehlberg scheme along shooting method. The ranges of involved physical parameters in present study can be explained as 0 & LE; & beta;T & LE; 0.08, 0 & LE; & beta;C & LE; 0.25, 0 & LE; Fr & LE; 6.0,0 & LE;& beta; & LE; 4.0, 0 & LE; We1 & LE; 1.0,0 & LE; We2 & LE; 1.5, 0 & LE; Nt & LE; 0.4, 0.1 & LE; Nb & LE; 1.2, 0 & LE; n & LE; 2, 0 & LE;& delta;& LE; 1.2, 0.7 & LE; Pr & LE; 6.2, 1 & LE; Sc & LE; 7. It is engrossing to reveal that surface mass transfer rate is an aggrandizing function of concentration relaxation parameter but reverse behavior is noticed for enrich thermal relaxation parameter. Additionally, fluid velocities f & PRIME; (& eta;) and g & PRIME; (& eta;) reduce due to the improvement of Forchheimer number and porosity parameter. Furthermore, magnitudes of the surface drag forces along x- and y- di- rectionsgrow for larger approximation of Weissenberg numbers.
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页数:15
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