Finite element solution of MHD power-law fluid with slip velocity effect and non-uniform heat source/sink

Poonia, Minakshi; Bhargava, Rama

doi:10.1007/s40314-017-0421-5

Cited by 3 publications

(3 citation statements)

References 29 publications

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“…If we insert (13) into the scaling (8), the set of transformations reduces to a oneparameter group of transformations given by…”

Section: Governing Equations With a Similaritymentioning

confidence: 99%

“…Although advancement in programming (like Mathematica, Matlab, Maple, C++, and Java) facilitate to solve such heavy, time-consuming ODEs/PDEs problems, yet it is the focused field for the researcher to erect and scan advance techniques that evaluate results of the nonlinear equations having multiple parameters arising from nature. In literature, the running techniques are the variational iteration method (VIM) [10], homotopy analysis method (HAM) [11], differential transform method (DTM) [12], and finite element method (FEM) [13]. The spectral relaxation method [14] and spectral perturbation method [15] have secured importance these days.…”

Section: Introductionmentioning

confidence: 99%

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Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

2019

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The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters.

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“…If we insert (13) into the scaling (8), the set of transformations reduces to a oneparameter group of transformations given by…”

Section: Governing Equations With a Similaritymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

2019

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“…The progressive aspect of these fluids is stimulated on account of their innumerable technological applications, including plastic sheets manufacturing, execution of lubricants, food conservation in chemical industries and motion of biological fluids. The power-law non-Newtonian fluids were taken into consideration by Poonia and Bhargava (2018) and Pantokratoras (2017) over plane surface and circular cylinder, respectively. Poonia and Bhargava (2014) examined the steady flow of Eyring–Powell fluids on porous surface.…”

Section: Introductionmentioning

confidence: 99%

Computational study on MHD power-law fluid in tilted enclosure having sinusoidal heated sidewall

Poonia

2020

MMMS

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PurposeIn the present computational study, the heat transfer and two-dimensional natural convection flow of non-Newtonian power-law fluid in a tilted rectangular enclosure is examined. The left wall of enclosure is subjected to spatially varying sinusoidal temperature distribution and right wall is cooled isothermally while the upper and lower walls are retained to be adiabatic. The flow is considered to be laminar, steady and incompressible under the influence of magnetic field. The governing mass, momentum and energy equations are transformed into dimensionless form in terms of stream function, vorticity and temperature.Design/methodology/approachThen resulted highly non-linear partial differential equations are solved computationally using Galerkin finite element method.FindingsThe exhaustive flow pattern and temperature fields are displayed through streamlines and isotherm contours for various parameters, namely, Prandtl number, Rayleigh number, Hartmann number by considering different power-law index and inclination angle. The effect of inclination angle on average Nusselt number is also shown graphically. This problem observes the potential vortex flow with elliptical core. The results show that the circular strength of the vortex formed reduces as the magnetic field strength grows. As the inclination angle increases the intensity of flow field decreases while the value of average Nusselt number increases.Originality/valueThis study has important applications in thermal management such as cooling techniques used in buildings, nuclear reactors, heat exchangers and power generators.

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Three-dimensional nanofluid stirring with non-uniform heat source/sink through an elongated sheet

Thumma¹,

Mishra

Abbas³

et al. 2022

Applied Mathematics and Computation

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Finite element solution of MHD power-law fluid with slip velocity effect and non-uniform heat source/sink

Cited by 3 publications

References 29 publications

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

Computational study on MHD power-law fluid in tilted enclosure having sinusoidal heated sidewall

Three-dimensional nanofluid stirring with non-uniform heat source/sink through an elongated sheet

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