Melting heat transfer in a nanofluid flow past a permeable continuous moving surface

Shah, Sarvang D.

doi:10.3329/jname.v8i2.6830

Cited by 15 publications

(7 citation statements)

References 41 publications

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“…It has also been observed in other studies of nanofluid dynamics, for example Gorla et al [43] and Nadeem et al [44]. Thermal buoyancy encourages flow but reduces the momentum boundary layer thickness.…”

Section: Numerical Solutions Of Transformed Equations and Validationsupporting

confidence: 67%

Magneto-nanofluid flow with heat transfer past a stretching surface for the new heat flux model using numerical approach

Akbar

Bég

Khan

2017

HFF

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Sheet processing of magnetic nanomaterials is emerging as a new branch of smart materials manufacturing. The efficient production of such materials combines many physical phenomena including magnetohydrodynamics (MHD), nanoscale, thermal and mass diffusion effects. To improve understanding of complex inter-disciplinary transport phenomena in such systems, mathematical models provide a robust approach. Motivated by this, herein we develop a mathematical model for steady, laminar, magnetohydrodynamic, incompressible nanofluid flow, heat and mass transfer from a stretching sheet. A uniform constant strength magnetic field is applied transverse to the plane of the stretching flow. The Buonjiornio nanofluid model is employed to represent thermophoretic and Brownian motion effects. A non-Fourier (Cattaneo-Christov) model is deployed to simulate thermal conduction effects of which the Fourier model is a special case when thermal relaxation effects are neglected. The governing conservation equations are rendered dimensionless with suitable scaling transformations. The emerging nonlinear boundary value problem is solved with a fourth order Runge-Kutta algorithm and also shooting quadrature. Validation is achieved with earlier non-magnetic and forced convection flow studies. The influence of key thermophysical parameters e.g. Hartmann magnetic number, thermal Grashof number, thermal relaxation time parameter, Schmidt number, thermophoresis parameter, Prandtl number and Brownian motion number on velocity, skin friction, temperature, Nusselt number, Sherwood number and nano-particle concentration distributions is investigated. A strong elevation in temperature accompanies an increase in Brownian motion parameter whereas increasing magnetic parameter is found to reduce heat transfer rate at the wall (Nusselt number). Nano-particle volume fraction is observed to be strongly suppressed with greater thermal Grashof number, Schmidt number and thermophoresis parameter whereas it is elevated significantly with greater Brownian motion parameter. Higher temperatures are achieved with greater thermal relaxation time values i.e. the non-Fourier model predicts greater values for temperature than the classical Fourier model.

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Section: Numerical Solutions Of Transformed Equations and Validationsupporting

confidence: 67%

Magneto-nanofluid flow with heat transfer past a stretching surface for the new heat flux model using numerical approach

Akbar

Bég

Khan

2017

HFF

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“…They have also considered the effects of heat generation/absorption parameter. Gorla et al (2011) worked on nanofluid flow over a melting surface under free stream conditions. Recently, Mishra and his coworkers (Rout and Mishra, 2018, 2019; Parida and Mishra, 2019; Rout et al , 2019; Bhatta et al , 2019) have investigated on the enhancement of heat transfer properties of various nanofluid considering in different thermophysical properties.…”

Section: Introductionmentioning

confidence: 99%

Williamson nanofluid flow through porous medium in the presence of melting heat transfer boundary condition: semi-analytical approach

Mishra

Mathur

2020

MMMS

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PurposePresent investigation based on the flow of electrically conducting Williamson nanofluid embedded in a porous medium past a linearly horizontal stretching sheet. In addition to that, the combined effect of thermophoresis, Brownian motion, thermal radiation and chemical reaction is considered in both energy and solutal transfer equation, respectively.Design/methodology/approachWith suitable choice of nondimensional variables the governing equations for the velocity, temperature, species concentration fields, as well as rate shear stress at the plate, rate of heat and mass transfer are expressed in the nondimensional form. These transformed coupled nonlinear differential equations are solved semi-analytically using variation parameter method.FindingsThe behavior of characterizing parameters such as magnetic parameter, melting parameter, porous matrix, Brownian motion, thermophoretic parameter, radiation, Lewis number and chemical particular case present result validates with earlier established results and found to be in good agreement. Finally reaction parameter is demonstrated via graphs and numerical results are presented in tabular form.Originality/valueThe said work is an original work of the authors.

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“…Recently, Krishnamurthy et al (2016) examined the effects of chemical reaction on MHD boundary layer flow and melting heat transfer of Williamson nanofluid embedded in a porous medium, and Nandeppanavar (2018) investigated laminar boundary layer flow and heat transfer from a warm laminar liquid to a melting sheet moving parallel to a melting stream. Further results of melting heat transfer flow were studied by many researchers (Epstein and Cho, 1976; Chamkha et al , 2011; Gorla et al , 2011; Prasannakumara et al , 2015). Results of MHD viscoelastic boundary layer flows over a stretching surface with non-uniform heat source/sink have been studied by many researchers (Abel et al , 2010; Nandeppanavar et al , 2013; Nandeppanavar and Siddalingappa, 2013; Abel and Nandeppanavar, 2007, 2008; Nandeppanavar et al , 2017; Nandeppanavar and Shakunthala, 2016; Das et al , 2016; Acharya et al , 2017; Tausif Sk et al , 2016; Das et al , 2018).…”

Section: Introductionmentioning

confidence: 99%

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

Konda

Reddy

Konijeti

et al. 2019

MMMS

111

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Purpose The purpose of this paper is to examine the influence of magnetic field on Williamson nanofluid embedded in a porous medium in the presence of non-uniform heat source/sink, chemical reaction and thermal radiation effects. Design/methodology/approach The governing physical problem is presented using the traditional Navier–Stokes theory. Consequential system of equations is transformed into a set of non-linear ordinary differential equations by means of scaling group of transformation, which are solved using the Runge–Kutta–Fehlberg method. Findings The working fluid is examined for several sundry parameters graphically and in a tabular form. It is noticed that with an increase in Eckert number, there is an increase in velocity and temperature along with a decrease in shear stress and heat transfer rate. Originality/value A good agreement of the present results has been observed by comparing with the existing literature results.

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Melting heat transfer in a nanofluid flow past a permeable continuous moving surface

Abstract: Abstract:A

Cited by 15 publications

References 41 publications

Magneto-nanofluid flow with heat transfer past a stretching surface for the new heat flux model using numerical approach

Magneto-nanofluid flow with heat transfer past a stretching surface for the new heat flux model using numerical approach

Williamson nanofluid flow through porous medium in the presence of melting heat transfer boundary condition: semi-analytical approach

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

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