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The Characteristics of Heat and Mass Transfer on MHD Fluid Flow over a Moving Melting Surface

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Advances in Fluid Dynamics

Abstract

The magneto-hydrodynamics (MHD) fluid flow above a moving melting surface in the existence of sticky intemperance under heat in addition mass transfer characteristics are examined theoretically and to be furnished in this article. The flow equivalent equations are solved by means of R-K method of 4th order. The impact of notable parameters on velocity, concentration, and temperature is deliberated through graphs. A comparison is made with the previous literature to validate the method and found good agreement. Concentration of the fluid decreases up to η = 2 and it increases for η > 2 with increasing values of Sc and Sherwood number increases for raising Sc values.

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Abbreviations

B 0 :

Constant

\(C_{f}\) :

Skin friction coefficient

\(C_{s}\) :

Heat capacity of the solid surface

\(Ec\) :

Eckert number

\(H\) :

Dimensionless melting parameter

\(M\) :

Magnetic field parameter

\(k^{*}\) :

Mean absorption coefficient

\(k\) :

Thermal conductivity

Nu:

Nusselt number

Pr:

Prandtl number

Q :

Heat source parameter

\(q_{r}\) :

Radiative heat flux

\(R\) :

Thermal radiation parameter

\(\text{Re}_{x}\) :

Reynolds number

T :

Temperature of the fluid

C :

Concentration of the fluid

\(T_{m}\) :

Solid surface temperature

(x. y):

Cartesian co-ordinates

\(\upsilon\) :

Kinematic viscosity

\(\sigma\) :

Electrical conductivity

\(\sigma^{*}\) :

Stefan–Boltzmann constant

\(\eta\) :

Similarity variable

\(\lambda_{1}\) :

Latent heat of the fluid

\(\lambda\) :

Moving parameter

\(\mu\) :

Coefficient of viscosity

\(\tau_{w}\) :

Wall shear stress

\(\psi\) :

Stream function

\(\theta (\eta )\) :

Dimensionless temperature

\(\phi (\eta )\) :

Dimensionless concentration

\(T_{\infty }\) :

Temperature away from the plate

\(\omega\) :

Condition at the wall

\(\infty\) :

Condition at free stream

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Correspondence to P. V. Satya Narayana .

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Harinath Reddy, S., Harish Babu, D., Kumaraswamy Naidu, K., Raju, M.C., Satya Narayana, P.V. (2021). The Characteristics of Heat and Mass Transfer on MHD Fluid Flow over a Moving Melting Surface. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_57

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_57

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  • Online ISBN: 978-981-15-4308-1

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