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MHD Radiative Casson Fluid Flow over a Non-linear Extending Surface with Cross-Diffusion Impact in the Presence of Buoyancy and Porous Impacts

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Advances in Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 666))

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Abstract

This research uses MHD Casson fluid flow with radiation, buoyancy, and joule heating impression over a non-linear extending surface. It also included the impressions of thermal diffusion—the Casson fluid’s flow characteristics in a transverse magnetic field. Partial differential equations change into an ordinary differential coupled system through appropriate similarity modification. Diagrams and tables are used to analyze the impacts of numerous non-dimensional parameters on velocity, temperature, and concentration with the help of the BVP4C technique and MATLAB software. The temperature and concentration profiles decline with increasing Dufour and Soret impressions, respectively. Velocity profile increases with increasing local thermal Grashof number while the reverse impression shows growing local concentration Grashof number. The skin friction rises with the local thermal Grashof parameter but falloff with the local concentration Grashof number. The Nusselt number increases with the Soret, Dufour, and radiation impacts. The skin friction coefficient, Nusselt number, and Sherwood number are also shown in the table with validation.

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Abbreviations

B0:

Magnetic induction

Sr:

Soret number

Sc:

Schmidt parameter

C:

Concentration

\({C}_{\infty }\) :

Ambient concentration as y tends to infinity

Cfx:

Skin-friction coefficient

Cp:

Specific heat capacity

DB:

Brownian diffusion coefficient

DT:

Thermophoretic diffusion coefficient

Dm:

Mass diffusivity

F:

Dimensionless stream function

K:

parameter of the Porous media

k:

Permeability of the porous medium

M:

Magnetic field parameter

n:

viscosity factor (Constant)

Pr:

Prandtl number

Q0:

The dimensional heat Source/sink coefficient

q:

Radiative heat flux

Nr:

Radiation parameter

Nb:

Brownian motion parameter

NT:

Thermophoresis parameter

Nux:

Local Nusselt number

Ec:

Eckert number

GT:

Grashof number for local temperature

GC:

Grashof number for local concentration

Du:

Dufour number

R:

Chemical reaction parameter

R0:

Chemical reaction coefficient

Re:

Local Reynolds number

Shx:

Local Sherwood number

T:

Temperature of the nanofluid within the boundary layer

Tw:

Reference temperature

\({T}_{\infty }\) :

Temperature of the ambient fluid

u; v:

Velocity components along x- and y-directions, respectively

uw:

Reference velocity

x; y:

Cartesian coordinates along the plate and normal to it, respectively

\(\uptheta \) :

Dimensionless temperature

\(\phi \) :

Dimensionless concentration

\(\nu \) :

Kinematic coefficient of viscosity

α:

Thermal Diffusivity

β:

Casson Fluid parameter

\(\sigma \) :

The electrical conductivity

\(\lambda \) :

The heat source or sink parameter

\(\eta \) :

variable of Similarity

\(\tau \) :

Heat capacity ratio

\({\mu }_{B}\) :

Non-Newtonian plastic dynamic viscosity

\({\tau }_{w}\) :

wall shear stress of the fluid

\(\pi \) :

deformation rate Multiple factors

\({\pi }_{c}\) :

Critical value of \(\pi \) founded on non-Newtonian model

eij:

(i, j)th deformation rate factor

w:

Surface conditions

∞:

Conditions far away from the surfaces

':

Differentiation with respect to \(\eta \)

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, India

    Atiya Ali, Ruchika Mehta & Sanju Jangid

  2. Department of Mathematics, S.S. Jain Subodh P.G. College, Jaipur, India

    Tripti Mehta

Authors
  1. Atiya Ali
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  2. Ruchika Mehta
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Corresponding author

Correspondence to Ruchika Mehta .

Editor information

Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  3. Department of Mathematics, Cankaya University, Institute of space sciences, Bucharest, Ankara, Türkiye

    Dumitru Baleanu

  4. Department of Mathematics, University of Rajasthan, Jaipur, India

    Devendra Kumar

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Ali, A., Mehta, R., Mehta, T., Jangid, S. (2023). MHD Radiative Casson Fluid Flow over a Non-linear Extending Surface with Cross-Diffusion Impact in the Presence of Buoyancy and Porous Impacts. In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2022. Lecture Notes in Networks and Systems, vol 666. Springer, Cham. https://doi.org/10.1007/978-3-031-29959-9_25

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  • DOI: https://doi.org/10.1007/978-3-031-29959-9_25

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  • Online ISBN: 978-3-031-29959-9

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