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Chemical Reaction and Thermophoresis Effects on MHD Mixed Convection Flow Over an Inclined Porous Plate with Variable Suction

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Advances in Fluid Dynamics

Abstract

The current work describes the chemical reaction and thermophoresis impacts on MHD flow past an inclined plate at an angle \(\alpha\) within the presence of variable suction and uniform porous medium. Perturbation technique is used to determine the solution of non-dimensional equations, and the obtained results are discussed with the help of graphs on physical quantities for the consequences of the pertinent parameters.

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Abbreviations

B 0 :

Magnetic induction

C * :

Species concentration

Cf x :

Local skin-friction coefficient

c p :

Specific heat due to constant pressure

C * w :

Species concentration at wall

C * :

Species concentration of the ambient fluid

D :

Chemical molecular diffusivity

f :

Dimensionless stream function

f w :

Dimensionless wall suction

g :

Acceleration due to gravity

Gr x :

Local Grashof number

Gm x :

Local modified Grashof number

J s :

Rate of transfer of species concentration

k :

Thermophoretic coefficient

k 1 :

Mean absorption coefficient

K l :

Chemical reaction constant

Kn:

Knudsen number

Kr :

Chemical reaction parameter

M :

Magnetic field parameter

N :

Radiation parameter

Nux:

Local Nusselt number

Pr:

Prandtl number

q r :

Radiative heat flux

q w :

Rate of heat transfer

Rex:

Local Reynolds number

S :

Heat source parameter

T * :

Temperature of the fluid

Sc:

Schmidt number

T * :

Temperature of the ambient fluid

T * w :

Temperature at the surface

U :

Free stream velocity

U * ,V * :

The x-, y-component of the velocity field

V * w :

Transpiration velocity

α :

Angle of inclination to vertical

β :

Volumetric coefficient of thermal

δ :

Local modified buoyancy parameter

γ :

Local buoyancy parameter

ρ :

Fluid density

σ :

Electrical conductivity

σ 1 :

Stefan–Boltzmann constant

ψ :

Stream function

η :

Similarity variable

υ :

Kinematic viscosity

μ :

Fluid viscosity

τ w :

Wall shear stress

θ :

Dimensionless temperature

:

Dimensionless concentration

λ g :

Thermal conductivity of fluid

λ p :

Thermal conductivity of diffused particles

τ :

Thermophoretic parameter

w :

Sheet surface

∞:

Infinity

′:

Differentiation with respect to \(\eta\)

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Correspondence to P. V. Satya Narayana .

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Harish Babu, D., Samantha Kumari, S., Satya Narayana, P.V. (2021). Chemical Reaction and Thermophoresis Effects on MHD Mixed Convection Flow Over an Inclined Porous Plate with Variable Suction. 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_56

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_56

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

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