Abstract
This article intends to illustrate the Darcy flow and melting heat transmission in micropolar liquid. The major advantage of micropolar fluid is the liquid particle rotation through an independent kinematic vector named the microrotation vector. The novel aspects of the Cattaneo-Christov (C-C) heat flux and Joule heating are incorporated in the energy transport expression. Two different nanoparticles, namely, MoS2 and MgO, are suspended into the base-fluid. The governing partial differential equations (PDEs) of the prevailing problem are slackening into ordinary differential expressions (ODEs) via similarity transformations. The resulting mathematical phenomenon is illustrated by the implication of fourth-fifth order Runge-Kutta-Fehlberg (RKF) scheme. The fluid velocity and temperature distributions are deliberated by using graphical phenomena for multiple values of physical constraints. The results are displayed for both molybdenum disulphide and magnesium oxide nanoparticles. A comparative benchmark in the limiting approach is reported for the validation of the present technique. It is revealed that the incrementing material constraint results in a higher fluid velocity for both molybdenum disulphide and magnesium oxide nanoparticle situations.
Highlights
Heat transport in distinct fluids has a wide range of implications in modern industrial and engineering developmental areas
Muhammad et al.[27] illustrated the heat transfer of a squeezing flow of hybrid nanofluids and nanofluids with viscous dissipation and melting effect, and revealed that the entropy generation is directly proportional to the squeezing, magnetic parameter, and Eckert number
∂2T + 2uv in which u and v are the velocity components of fluid along the x- and y-coordinates, respectively, ρnf is the density of the nanofluid, μnf is the dynamic viscosity, κ is the vortex viscosity, N is the micro rotation, σnf is the electrical conductivity, νnf is the kinematic viscosity, j is the micro rotation density, T is the temperature, γnf is the spin gradient viscosity, B0 is the strength of magnetic field, cp is the specific heat capacity, and λ1 is the parameter of thermal relaxation
Summary
Heat transport in distinct fluids has a wide range of implications in modern industrial and engineering developmental areas. Venkateswarlu et al.[5] illustrated the fluid temperature between MgO and MoS2 water based nanofluids by considering the MHD and Cattaneo-Christov (C-C) heat flux over a sheet. Cheng and Lin[25] scrutinized the mixed convection heat flux over a porous medium by considering the melting effect. Muhammad et al.[27] illustrated the heat transfer of a squeezing flow of hybrid nanofluids and nanofluids with viscous dissipation and melting effect, and revealed that the entropy generation is directly proportional to the squeezing, magnetic parameter, and Eckert number. Hayat et al.[28] illustrated the mixed convectional nanofluid flow in MHD over a stretchable plate with the melting effect. The results are computed in a limiting approach to validate the methodology
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