Discontinuity, Nonlinearity, and Complexity
Influence of Heat Generation/Absorption on the Nonlinear Convective Flow of a Casson Fluid over a Horizontal Plate
Discontinuity, Nonlinearity, and Complexity 11(3) (2022) 523538  DOI:10.5890/DNC.2022.09.013
R. R. Kairi$^{1}$, Ch. Ramreddy$^{2}$, S. Roy$^{1}$
$^{1}$ Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar, West Bengal, India
$^{2}$ Department of Mathematics, National Institute of Technology, Warangal, Telangana, India
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Abstract
This work highlights the influence of nonlinear mixed convective flow of a nonNewtonian fluid over a horizontal plate in the presence of heat generation/absorption. The Casson fluid model is employed to express the nonNewtonian behavior of the fluid. Also, the density of the Casson fluid is assumed to be a nonlinear function of temperature. The boundary layer analysis is adopted by introducing a set of nondimensional transformations for deriving the nondimensional form of flow governing equations. The proposed problem does not permit a similarity solution. Thus, local similarity and local nonsimilarity methods are adopted to convert the set of nonlinear PDEs to the set of nonlinear ODEs. On account of local similarity and nonsimilarity method, the consequential ODEs are solved numerically by the RungeKutta method together with the shooting technique. The control of pertinent parameters on the velocity and temperature fields, and on the nondimensional heat transfer rate as well as on the skin friction coefficient, are analyzed through graphical representation and explored in detail. Prior knowledge about the effect of these parameters on the heat transfer rate and skin friction coefficient can be very useful in the perspective of industrial applications.
Acknowledgments
Mr. Subrata Roy is thankful to the UGC, India, for funding to accomplish the research work under Junior Research Fellowship.
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