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Behavior of slip boundary conditions for the flow of nanofluid in the presence of an inclined magnetic field
Authors:B. Nayak  R. S. Tripathy  S. R. Mishra
Affiliation:Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha, India
Abstract:The inflated heat transport rate of nanofluids is of great interest to researchers. Conviction of nanosuspension with an enhanced model under the consideration of inclined magnetic field is also vital for the enhancement of heat transport rate. Therefore, in this article, an inclined magnetic field has been considered during a boundary layer flow over an extending sheet, with the sheet being permeable. The sequels of heat radiation, thermophoresis, and Brownian parameters are also taken into consideration in this study. The importance of the study is the slip boundary conditions used for velocity, temperature, and concentration. A set of nonlinear partial differential equations is transformed into ordinary differential equations with a suitable choice of similarity variables. The set of first-order differential equations is quite difficult to solve analytically. Therefore, the numerical Runge-Kutta-Fehlberg method, accompanied with shooting technique, is used. The results of the physical components characterizing the flow phenomena, such as magnetic parameter, thermal radiation, thermophoresis, Brownian parameter, and slip parameters, are elaborated through graphs. The numerical results of physical quantities of attention are presented in tables. The existing outcome conforms to that of the previous published result in a particular case.
Keywords:Dufour effect  inclined magnetic field  nanofluid  numerical solution  slip boundary conditions
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