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Numerical Investigation of Radiation and Magnetic Effects on Casson Fluid Flow Over a Porous Sheet in Presence of Constant Mass Flux

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Advances in Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 953))

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Abstract

The present research article focuses on the impacts due to magnetic and radiation parameter on the steady 2D Casson fluid flow along a porous/permeable plate which is flat in nature. A uniform magnetic field of strength \(B_{0}\) is assumed to be applied normal to the sheet. It is assumed that the flow in the laminar boundary layer is two-dimensional. In this study, we have used similarity transformation by changing partial differential equations (PDEs) into ordinary differential equations (ODEs). ODEs are solved then using bvp4c package in MATLAB with a shooting approach. Physical quantities of engineering, science and industry interest, like Sherwood and Nusselt number, skin/surface friction are calculated for the prescribed fluid flow. Line graphs of concentration, velocity and temperature distribution are produced for abundant non-dimensional parameters included in the study. Later on, we have discussed outcomes of all parameters on the flow.

Here, results show that velocity of Casson fluid reduces with rising magnetic parameter and grows with increasing radiation parameter. Temperature increases as both radiation and magnetic parameter increase. Magnetic parameter also enhances the Casson fluid’s concentration.

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Abbreviations

\(T\) = :

Temperature of fluid \(\left( K \right)\)

\(T_{w}\) = :

Constant temperature at surface of the sheet \(\left( K \right)\)

\(T_{\infty }\) = :

Temperature in the free stream \(\left( K \right)\)

\(C\) = :

Concentration of fluid

\(C_{w}\) = :

Concentration at the surface of the sheet

\(C_{\infty }\) = :

Concentration in the free stream

\(u\) = :

Velocity component in \(X\) direction

\(v\) = :

Velocity component in \(Y\) direction

\(\theta\) = :

Temperature

\(\sigma\) = :

Stefan Boltzman constant \(\left( {Wm^{ - 2} K^{ - 4} } \right)\)

\(M\) = :

Magnetic parameter

\(\Pr\) = :

Prandtl number

\({\text{Re}}\) = :

Reynold number

\(\nu\) = :

Kinematic viscosity \(\left( {m^{2} s^{ - 1} } \right)\)

\(D_{B}\) = :

Coefficient of Brownian diffusion

\(\alpha\) = :

Thermal diffusivity

\(B_{0}\) = :

Normal strength of magnetic field applied to sheet which is uniformly distributed

\(\rho\) = :

Fluid density \(\left( {Kgm^{ - 3} } \right)\)

\(C_{p}\) = :

Specific heat (at constant pressure)

\(k_{0}\) = :

Constant of chemical reaction rate

\(\beta_{C}\) = :

Solutal expansion coefficient

\(\sigma\) = :

Fluid’s Electric conductivity

\(K^{\prime}\) = :

Coefficient of Permeability (porous medium)

\(g\) = :

Gravitational acceleration

\(q_{r}\) = :

Radiative heat flux \(\left( {Wm^{ - 2} K^{ - 1} } \right)\)

\(\beta_{T}\) = :

Coefficient of thermal expansion

\(\infty\):

Conditions at the free stream or far from the wall

\(w\):

Conditions at the wall/surface

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Author information

Authors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, 303905, India

    Abhishek Neemawat

  2. Department of Mathematics, Sanskriti College, Jaipur, 302020, India

    Nimit Jain

  3. Department of Physics, Vivekanand Global University, Jaipur, 303012, India

    Sushila

Authors
  1. Abhishek Neemawat
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  2. Nimit Jain
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  3. Sushila
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Corresponding author

Correspondence to Sushila .

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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 Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Dumitru Baleanu

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

    Devendra Kumar

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Neemawat, A., Jain, N., Sushila (2024). Numerical Investigation of Radiation and Magnetic Effects on Casson Fluid Flow Over a Porous Sheet in Presence of Constant Mass Flux. In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2023. Lecture Notes in Networks and Systems, vol 953. Springer, Cham. https://doi.org/10.1007/978-3-031-56304-1_17

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  • DOI: https://doi.org/10.1007/978-3-031-56304-1_17

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