Stability analysis and dual solutions of time-dependent stagnation-point heat transport of Casson nanofluid by using Tiwari–Das model

Lanjwani H.B. Anwar M.I. Ghoto A.A. Shehzad S.A. Zaimi M.K.
2023 Taylor and Francis Ltd.

Numerical Heat Transfer, Part B: Fundamentals
2023 #84 Issue 3 253 - 270 pp.

Magnetohydrodynamic (MHD) time-dependent stagnation point flow and heat transfer characteristics of Casson base nanofluid over porous shrinking/stretching sheet with velocity slip and radiations effects is considered. The Tiwari–Das model is incorporated with silver (Ag), gold (Au), and iron (Fe) nanoparticles. The similarity variables are used to transfer the modeled partial differential equations into the system of ordinary differential equations. The shooting technique through Maple software is used to check the effects of different physical parameters used in equations and boundary conditions. The stability analysis at different values of the used parameters is performed due to existence of duality in the solutions. In the results, the second solution is found unstable while first one is physically reliable and stable. Numerically achieved findings of this problems show the skin friction coefficient is decreasing for (Formula presented.) and increasing for (Formula presented.) when the suction rate and nanoparticles volume-fraction are increased. The local Nusselt number is higher against the rising suction parameter and lower for the incremented nanoparticles volume fractions for both cases of (Formula presented.) Comparatively, the thermal conductivity and drag force of Au-nanoparticles is seen greater than Ag and Fe, while Fe greater than Ag in Casson nanofluid flow. The velocity profiles decrease with increase in nanoparticles volume fractions, Casson, suction and velocity slip parameters, while, an increase in unsteady parameter increases velocity profile. Moreover, radiation, nanoparticles volume fractions and magnetic parameters increase the temperature profiles.

Casson nanofluid , dual solutions , magnetohydrodynamic , stability analysis , stretching/shrinking surface

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Department of Mathematics, Government Degree College Nasirabad, Sindh, Pakistan
Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Astana, Kazakhstan
Higher Education Department, Lahore, Pakistan
Department of Mathematics, University of Sargodha, Sargodha, Pakistan
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawab Shah, Pakistan
Department of Mathematics, COMSATS University Islamabad, Sahiwal, Pakistan
Institute of Engineering Mathematics, Universiti Malaysia Perlis, Malaysia

Department of Mathematics
Department of Mathematics
Higher Education Department
Department of Mathematics
Department of Mathematics and Statistics
Department of Mathematics
Institute of Engineering Mathematics

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