2022
DOI: 10.1002/htj.22564
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Nonsimilar solution of a boundary layer flow of a Reiner–Philippoff fluid with nonlinear thermal convection

Abstract: The thermodynamics modeling of a Reiner-Philippofftype fluid is essential because it is a complex fluid with three distinct probable modifications. This fluid model can be modified to describe a shear-thinning, Newtonian, or shear-thickening fluid under varied viscoelastic conditions. This study constructs a mathematical model that describes a boundary layer flow of a Reiner-Philippoff fluid with nonlinear radiative heat flux and temperature-and concentration-induced buoyancy force. The dynamical model follows… Show more

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Cited by 16 publications
(2 citation statements)
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“…( 6), ( 7) will be presented based on bivariate spectral local linearisation approximation theory. Following Bellman and Kalaba 17 , including [18][19][20] we set Such that the quasi-linearized version of (6) becomes where the coefficients used in (9) are defined as It is well known that set of polynomials is dense in the set of continuous functions, therefore, to obtain the solution of the (6) subject to (7), we seek a series solution that is based on Lagrange cardinal polynomial, L p y L q (τ ) , approximation of the form:…”
Section: Bivariate Spectral Local Linearization Methods Of Solutionmentioning
confidence: 99%
“…( 6), ( 7) will be presented based on bivariate spectral local linearisation approximation theory. Following Bellman and Kalaba 17 , including [18][19][20] we set Such that the quasi-linearized version of (6) becomes where the coefficients used in (9) are defined as It is well known that set of polynomials is dense in the set of continuous functions, therefore, to obtain the solution of the (6) subject to (7), we seek a series solution that is based on Lagrange cardinal polynomial, L p y L q (τ ) , approximation of the form:…”
Section: Bivariate Spectral Local Linearization Methods Of Solutionmentioning
confidence: 99%
“…In this section, the BSLLS is implemented to provide a numerical solution for Equations ( 6)-( 8), as outlined in [29,30]. For further studies on the convergence analysis of the BSLLS, see [31].…”
Section: Solution Methodsmentioning
confidence: 99%