Numerical Modeling of Non-Similar Mixed Convection Heat Transfer over a Stretching Surface with Slip Conditions

Rao, A. Papa; Prasad, V. Ramachandra; Nagendra, N.; Murthy, K. V. Narasimha; Reddy, N. Bhaskar; Bég, O. Anwar

doi:10.4236/wjm.2015.56013

Cited by 15 publications

(4 citation statements)

References 29 publications

(10 reference statements)

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“…The concept of nanofluid (nanoparticles) was first introduced by Choi [1], to describe that base fluid (water, kerosene, biofluids, and ethylene-glycol mixture) enhance thermal conductivity when nanoparticles are added. The thermal conductivity increases when nanoparticles are added, as described by the authors of [2][3][4][5]. Rashidi et al [6] examined the Brownian and thermophoresis effects on the thermal boundary layer.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Simulation of Multiple Slip Effects on MHD Unsteady Maxwell Nanofluid Flow over a Permeable Stretching Sheet with Radiation and Thermo-Diffusion in the Presence of Chemical Reaction

et al. 2019

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The aim of the present study is to investigate the multiple slip effects on magnetohydrodynamic unsteady Maxwell nanofluid flow over a permeable stretching sheet with thermal radiation and thermo-diffusion in the presence of chemical reaction. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations with the aid of appropriate similarity variables, and the transformed equations are then solved numerically by using a variational finite element method. The effects of various physical parameters on the velocity, temperature, solutal concentration, and nanoparticle concentration profiles as well as on the skin friction coefficient, rate of heat transfer, and Sherwood number for solutal concentration are discussed by the aid of graphs and tables. An exact solution of flow velocity, skin friction coefficient, and Nusselt number is compared with the numerical solution obtained by FEM and also with numerical results available in the literature. A good agreement between the exact and numerical solution is observed. Also, to justify the convergence of the finite element numerical solution, the calculations are carried out by reducing the mesh size. The present investigation is relevant to high-temperature nanomaterial processing technology.

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Section: Introductionmentioning

confidence: 99%

Finite Element Simulation of Multiple Slip Effects on MHD Unsteady Maxwell Nanofluid Flow over a Permeable Stretching Sheet with Radiation and Thermo-Diffusion in the Presence of Chemical Reaction

et al. 2019

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“…[11]. Rao et al [12] experiment with the slip conditions with heat transfer effect over a stretching surface. Similar studies include, results on Casson fluid are Refs.…”

Section: Introductionmentioning

confidence: 99%

The paradox of heat conduction, inﬂuence of variable viscosity, and thermal conductivity on magnetized dissipative Casson ﬂuid with stratiﬁcation models

Akolade

Idowu

Falodun

et al. 2021

Proyecciones (Antofagasta)

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The boundary layer ﬂow of temperature-dependent variable thermal conductivity and dynamic viscosity on ﬂow, heat, and mass transfer of magnetized and dissipative Casson ﬂuid over a slenderized stretching sheet has been studied. The model explores the Cattaneo-Christov heat ﬂux paradox instead of the Fourier’s law plus the stratiﬁcations impact. The variable temperature-dependent plastic dynamic viscosity and thermal conductivity were assumed to vary as a linear function of temperature. The governing systems of equations in PDEs were transformed into non-linear ordinary diﬀerential equations using the suitable similarity transformations, hence the approximate solutions were obtained using Chebyshev Spectral Collocation Method (CSCM). Effects of pertinent ﬂow parameters on concentration, temperature, and velocity proﬁles are presented graphically and tabled, therein, thermal relaxation and wall thickness parameters slow down the distribution of the ﬂowing ﬂuid. A rise in Casson parameter, temperature-dependent thermal conductivity, and velocity power index parameter increases the skin friction thus leading to a decrease in energy and mass gradient at the wall, also, temperature gradient attain maximum within 0.2 - 1.0 variation of Casson parameter.

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“…Further, Kairi and Murthy [9] and Kairi and Ram Reddy [10] contributed to mixed convection flow in a non-conducting non-Newtonian fluid flow, but Barman et al [11] studied the above problem with a cooling fluid under the influence of magnetic field on a Newtonian flow. Further, Rao et al [12] studied the cross flow past a stretching surface with slip at the boundary. Kumari and Jayanthi [13] have studied a non-Darcy non-Newtonian mixed convection flow along a vertical plate.…”

Section: Introductionmentioning

confidence: 99%

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Baitharu¹,

Sahoo²,

Dash³

2020

Karbala International Journal of Modern Science

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An analysis is performed on non-Darcy mixed convective flow of non-Newtonian fluid past a vertical surface in the presence of volumetric heat source originated by some electromechanical or other devices. Further, the vertical bounding surface is subjected to power law variation of wall temperature, but the numerical solution is obtained for isothermal case. In the present non-Darcy flow model, effects of high flow rate give rise to inertia force. The inertia force in conjunction with volumetric heat source/sink is considered in the present analysis. The Runge-Kutta method of fourth order with shooting technique has been applied to obtain the numerical solution. To avoid mathematical impasse for applying R-K method we have considered isothermal wall condition. The results of major interest include velocity as well as temperature profiles and the local Nusselt number for some representative values of power-law indices. Most importantly, introduction of the coordinate and parametric transformation applied to governing equations, rarely reported in the existing literature, add to the knowledge front. Some important findings of the study are: Ergun number reduces the pseudoplastic fluid velocity boundary layer, a desirable outcome, but enhances the thermal boundary layer whereas, in case of Newtonian and dilatant fluid, the effect is not so significant. An increase in all the flow and heat transfer parameters leads to decelerate the surface cooling from pseudoplasticity to dilatancy through Newtonian; thus the present model slows down the surface cooling and decreases the skin friction in the presence of heat source for dilatant fluid.

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Numerical Modeling of Non-Similar Mixed Convection Heat Transfer over a Stretching Surface with Slip Conditions

Cited by 15 publications

References 29 publications

Finite Element Simulation of Multiple Slip Effects on MHD Unsteady Maxwell Nanofluid Flow over a Permeable Stretching Sheet with Radiation and Thermo-Diffusion in the Presence of Chemical Reaction

Finite Element Simulation of Multiple Slip Effects on MHD Unsteady Maxwell Nanofluid Flow over a Permeable Stretching Sheet with Radiation and Thermo-Diffusion in the Presence of Chemical Reaction

The paradox of heat conduction, inﬂuence of variable viscosity, and thermal conductivity on magnetized dissipative Casson ﬂuid with stratiﬁcation models

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

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