The Effects of Thermal Radiation on an Unsteady MHD Axisymmetric Stagnation-Point Flow over a Shrinking Sheet in Presence of Temperature Dependent Thermal Conductivity with Navier Slip

Mondal, Sabyasachi; Haroun, Nageeb A. H.; Sibanda, Precious

doi:10.1371/journal.pone.0138355

Cited by 23 publications

(12 citation statements)

References 27 publications

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“…MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection and heat and mass transfer of nanofluid through an impulsively vertical stretching surface using the spectral relaxation method was studied by Haroun et al [23,24]. The Radiation effects on an unsteady MHD axisymmetric stagnation-point flow over a shrinking sheet in the presence of temperature dependent thermal conductivity with Navier slip were considered by Mondal et al [25]. Hamad and Pop [26] investigated an unsteady MHD free convective flow of nanofluid past a vertical permeable flat plate with constant heat source.…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer analysis for the MHD flow of nanofluid with radiation absorption

Prasad

Kumar

Varma

2018

Ain Shams Engineering Journal

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In this paper the effects of Diffusion thermo, radiation absorption and chemical reaction on MHD free convective heat and mass transfer flow of a nanofluid bounded by a semi-infinite flat plate are analyzed. The plate is moved with a constant velocity U 0 , temperature and the concentration are assumed to be fluctuating with time harmonically from a constant mean at the plate. The analytical solutions of the boundary layer equations are assumed of oscillatory type and are solved by using the small perturbation technique. Two types of nanofluids namely Cu-water nanofluid and TiO 2 -water nanofluid are used. The effects of various fluid flow parameters are discussed through graphs and tables. It is observed that the diffusion thermo parameter/radiation absorption parameter enhance the velocity, temperature and skin friction. This enhancement is very significant for copper nanoparticles. This is due to the high conductivity of the solid particles of Cu than those of TiO 2 . Also it is noticed that the solutal boundary layer thickness decreases with an increase in chemical reaction parameter. It is because chemical molecular diffusivity reduces for higher values of Kr. Ó 2016 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Section: Introductionmentioning

confidence: 99%

Heat and mass transfer analysis for the MHD flow of nanofluid with radiation absorption

Prasad

Kumar

Varma

2018

Ain Shams Engineering Journal

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“…Equations (18) and (19) which are self-similar nonlinear two-point boundary value problem has been solved using Maple via dsolve under boundary conditions (20). This is a very vigorous, legitimate computational algorithm with excellent convergence potentiality.…”

Section: Numerical Solutionmentioning

confidence: 99%

“…The spectral relaxation method [14] and spectral perturbation method [15] have secured importance these days. Recently, several authors [16][17][18][19][20] have studied different flow parameters considering different fluid flows over different geometries.…”

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 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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“…The fluid is a water-based nanofluid containing nano particles of CuO or Ag, whose thermo-physical properties are given in Table 1 [13,28]. Assuming a small difference between the fluid temperature T(y 1 , t 1 ) and the stream temperature T ∞ , and adopting the Rosseland approximation [5], the radiative heat flux q r (y 1 , t 1 ) can be linearized to:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…Moreover, the effects of thermal radiation on nanofluid flows have been studied by many scholars. Mondal et al [5] considered the unsteady magneto-hydrodynamic axi-symmetric stagnation-point flow over a shrinking sheet with Navier slip, and the temperature-dependent thermal conductivity. Magneto-hydrodynamic (MHD) flows of nanofluids, with radiation heat transfer over a flat plate with a variable heat flux and first-order chemical reaction, were studied by Zhang et al [6].…”

Section: Introductionmentioning

confidence: 99%

Natural Convection Flow of Fractional Nanofluids Over an Isothermal Vertical Plate with Thermal Radiation

2017

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Abstract:The studies of classical nanofluids are restricted to models described by partial differential equations of integer order, and the memory effects are ignored. Fractional nanofluids, modeled by differential equations with Caputo time derivatives, are able to describe the influence of memory on the nanofluid behavior. In the present paper, heat and mass transfer characteristics of two water-based fractional nanofluids, containing nanoparticles of CuO and Ag, over an infinite vertical plate with a uniform temperature and thermal radiation, are analytically and graphically studied. Closed form solutions are determined for the dimensionless temperature and velocity fields, and the corresponding Nusselt number and skin friction coefficient. These solutions, presented in equivalent forms in terms of the Wright function or its fractional derivatives, have also been reduced to the known solutions of ordinary nanofluids. The influence of the fractional parameter on the temperature, velocity, Nusselt number, and skin friction coefficient, is graphically underlined and discussed. The enhancement of heat transfer in the natural convection flows is lower for fractional nanofluids, in comparison to ordinary nanofluids. In both cases, the fluid temperature increases for increasing values of the nanoparticle volume fraction.

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The Effects of Thermal Radiation on an Unsteady MHD Axisymmetric Stagnation-Point Flow over a Shrinking Sheet in Presence of Temperature Dependent Thermal Conductivity with Navier Slip

Cited by 23 publications

References 27 publications

Heat and mass transfer analysis for the MHD flow of nanofluid with radiation absorption

Heat and mass transfer analysis for the MHD flow of nanofluid with radiation absorption

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

Natural Convection Flow of Fractional Nanofluids Over an Isothermal Vertical Plate with Thermal Radiation

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