Unsteady MHD flow of a visco-elastic fluid along vertical porous surface with fluctuating temperature and concentration

Mohanty, None Arpita

doi:10.9790/3021-04414658

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…Further, MHD natural convective flow, past an infinite vertical porous plate with thermal radiation and Hall current, was considered by Ramana Murthy et al 13 Rajput and Kumar 14 have investigated radiation effects on MHD flow past an oscillating inclined plate with heat and mass transfer. Unsteady MHD flows of a viscoelastic fluid along a vertical porous surface with fluctuating temperature and concentration have been studied by Mohanty et al 15 Several authors [16][17][18][19][20][21][22] studied MHD flow of viscous and viscoelastic fluid.…”

Section: Introductionmentioning

confidence: 99%

Study of an unsteady fluctuative MHD flow of elasticoviscous liquid past a vertical porous plate

Muduly

Rath

Parida³

et al. 2022

Heat Trans

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Most flows which occur in nature/practical applications are fluctuating. The fluctuating motions superimposed on the main motion are complex. Further, the unsteadiness of the flow is an added reality to applications in various fields. The free convection flow of an electrically conducting fluid past different types of vertical bodies subjected to a magnetic field is studied because of its wide range of applications in astrophysics, geophysics, aerodynamics, electromagnetic pumps, the flow of liquid metals, and so forth. In the present analysis, an attempt has been made to study the thermal radiation effect on the unsteady magnetohydrodynamic flow of an incompressible elasticoviscous liquid (Walters‐B' fluid model) along an infinite hot vertical permeable surface embedded in a porous medium with heat source and chemical reaction. The governing equations of motion, energy, and concentration are solved by an approximate analytical method, that is, the successive perturbation technique and numerical method (Runge–Kutta with shooting). The solution procedure rests upon the basic assumption that the unsteady boundary layer involves a steady basic flow superimposed on an unsteady flow. The most striking outcome is that the combined effect of oscillation outflow, the elasticity of the fluid, and thermal as well as mass buoyancy overrides the resistive electromagnetic force and suction at the plate to enhance the velocity so that high values of magnetic strength are not desired. Further, a higher value of the heat source parameter accelerates the momentum diffusion resulting in the escalation of the velocity field. Fall of concentration is relatively faster in cases of heavier species as well as destructive reactions. The heat transfer coefficient assumes positive values indicating the heat flows from the plate to the fluid (cooling of the bounding surface and heating of the fluid). These observations may have industrial (design of heat exchanges) and therapeutic bearings.

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Section: Introductionmentioning

confidence: 99%

Study of an unsteady fluctuative MHD flow of elasticoviscous liquid past a vertical porous plate

Muduly

Rath

Parida³

et al. 2022

Heat Trans

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“…Mass and heat transfer analysis on the magnetohydrodynamic (MHD) unsteady flow induced by a stretching sheet is carried out by Hayat et al 7 Vijaya Kumar et al 8 considered the flow of fluid past a vertical oscillating plate with adjustable temperature. Many researchers [9][10][11][12][13][14][15][16][17][18][19][20] have studied the fluid flow models with different boundary conditions. Bhukta et al 21 considered the mixed convection flow of fluid past a stretching surface through a porous matrix with an irregular heat sink/source.…”

Section: Introductionmentioning

confidence: 99%

Unsteady thermally radiative and chemically reactive viscoelastic fluid flow past a vertical porous plate with a heat source

Muduly

Swain²,

Rath

et al. 2022

Heat Trans

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An analytical study is performed to investigate the thermal radiation effect on the unsteady two‐dimensional magnetohydrodynamic flow of a viscoelastic incompressible fluid (Walters B false′ $B^{\prime} $ fluid model) along an infinite hot vertical sheet embedded in a porous medium. Further, the addition of a heat source in the energy equation as well as a chemical reaction in the concentration equation renders the present analysis realistic in the field of engineering and technology. The governing equations of mass, momentum, energy, and concentration are solved with successive perturbation techniques. The effects of pertinent parameters on fluid velocity, temperature, concentration, and bounding surface coefficients are shown graphically and in tabular form. The salient feature of the present study is to impose control on magnetic field strength vis‐à‐vis electromagnetic force by regulating voltage in the electric circuit. The important findings are: the elasticity property of the fluid is more sensitive to heated bounding surface consequently free convection current in enhancing the velocity near the plate than the inherent property viscosity. This outcome contributes to the design requirement to control the flow near the heated surface, higher values of frequency parameters contribute to the attainment of a free stream state in temperature distribution. Besides the aforesaid outcome, the present model is conducive to thinning of boundary layer as the elasticity, magnetic as well as free convection parameters enhance the force coefficients at the bounding surface.

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Unsteady MHD flow of a visco-elastic fluid along vertical porous surface with fluctuating temperature and concentration

Cited by 2 publications

References 8 publications

Study of an unsteady fluctuative MHD flow of elasticoviscous liquid past a vertical porous plate

Study of an unsteady fluctuative MHD flow of elasticoviscous liquid past a vertical porous plate

Unsteady thermally radiative and chemically reactive viscoelastic fluid flow past a vertical porous plate with a heat source

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