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Thermophoretic and Chemical Reaction Effects on Unsteady Dissipative MHD Convection Flow-Stream Past an Upright Permeable Plate Accompanying Radiation and Absorption of Heat

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Artificial Intelligence on Medical Data

Part of the book series: Lecture Notes in Computational Vision and Biomechanics ((LNCVB,volume 37))

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Abstract

The essence of this study revolves around investigating the impact of thermophoresis, radiation as well as absorption of heat, and cataclysmal chemical reaction on thermal dispensation and mobility traits of an unsteady flow-stream passing by an upright permeable plate. The fluid is conductive of electricity and is subjected to viscous and ohmic dissipation. A magnetic field persistent with static intensity is applied normal to the plate. The dimensional governing equations and corresponding initial as well as frontier conditions are transformed into non-dimensional ones incorporating appropriate dimensionless variables. The dimensionless equation system is then solved numerically utilizing numerical computing environment of MATLAB. The impacts of concomitant flow dictating parameters on dimensionless flow attributes are depicted graphically and with the help of these pictorial visualizations, inferences pertaining to the problem are attempted. Magnetohydrodynamics is crucial in various biomedical utilizations viz. magnetic resonance imaging, target specific drug delivery, etc. MATLAB, with its image processing tools and built-in image segmentation algorithms, is of great utility for medical image analysis.

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Abbreviations

\(u^* {,}v^*\) :

Velocity constituents along \(x^*\) and \(y^*\) directions, respectively, ms−1

\(t^*\) :

Time variable, s

\(y^*\) :

Dimensional ordinate, m

\(U_\infty^*\) :

Free stream velocity parallel to the plate, ms−1

\(m^*\) :

Frequency of asymptotic suction, s−1

\(g\) :

Gravitational acceleration, ms−2

\(T^*\) :

Variable fluid temperature, K

\(T_\infty^*\) :

Environment temperature, K

\(C^*\) :

Variable fluid concentration, Kg m−3

\(C_\infty^*\) :

Concentration away from plate, Kg m−3

\(B_0\) :

Magnetic field strength, Am−1

\(k^*\) :

Porosity of the plate, m2

\(C_p\) :

Specific heat capacity, JKg−1 K−1

\(Q_r\) :

Radiative heat flux, Wm−2

\(k_r\) :

Mean absorption coefficient, m−1

\(Q_s\) :

Heat sink coefficient, Wm−3 K−1

\(D\) :

Coefficient of mass diffusion, m2s−1

\(K_c\) :

Rate of chemical reaction, s−1

\(V_t\) :

Thermophoretic velocity, ms−1

\(K_t\) :

Thermophoretic coefficient

\(T_r\) :

Mean reference temperature, K

\(U_p^*\) :

Velocity of initial plate motion, ms−1

\(y\) :

Dimensionless ordinate

\(t\) :

Dimensionless time

\(u\) :

Dimensionless fluid velocity

\(G_t\) :

Thermal Grashof number

\(G_c\) :

Solutal Grashof number

\(M\) :

Magnetic parameter

\(k\) :

Porosity parameter

\(R\) :

Radiation parameter

\(P_r\) :

Prandtl number

\(S\) :

Heat absorption parameter

\(E \, _c\) :

Eckert number

\(S_c\) :

Schmidt number

\(S_f\) :

Skin friction coefficient

\(N_u\) :

Nusselt number

\(S_h\) :

Sherwood number

\(\rho\) :

Fluid density, Kg m−3

\(\nu\) :

Kinematic viscosity of fluid, m2s−1

\(\lambda \, _t\) :

Thermal expansion coefficient, K−1

\(\lambda_c\) :

Mass expansion coefficient, Kg−1

\(\sigma_e\) :

Electrical conductivity, S m−1

\(\kappa\) :

Thermal conductivity, Wm−1 K−1

\(\sigma_r\) :

Stefan-Boltzmann constant, Wm−2 K−4

\(\theta\) :

Dimensionless temperature

Ï• :

Dimensionless concentration

\(\gamma\) :

Chemical reaction parameter

\(\delta\) :

Thermophoretic parameter

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Acknowledgements

This work is supported financially by University Grants Commission, India.

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, Assam, 781014, India

    Bhrigu Kumar Kalita & Rita Choudhury

Authors
  1. Bhrigu Kumar Kalita
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  2. Rita Choudhury
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Corresponding author

Correspondence to Bhrigu Kumar Kalita .

Editor information

Editors and Affiliations

  1. Sikkim Manipal Institute of Technology, Majitar, India

    Mousumi Gupta

  2. Institute of Engineering and Management, Kolkata, India

    Sujata Ghatak

  3. Sikkim Manipal Institute of Medical Sciences, Sikkim, India

    Amlan Gupta

  4. Henry Ford Hospital, Detroit, MI, USA

    Abir Lal Mukherjee

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Kalita, B.K., Choudhury, R. (2023). Thermophoretic and Chemical Reaction Effects on Unsteady Dissipative MHD Convection Flow-Stream Past an Upright Permeable Plate Accompanying Radiation and Absorption of Heat. In: Gupta, M., Ghatak, S., Gupta, A., Mukherjee, A.L. (eds) Artificial Intelligence on Medical Data. Lecture Notes in Computational Vision and Biomechanics, vol 37. Springer, Singapore. https://doi.org/10.1007/978-981-19-0151-5_38

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  • DOI: https://doi.org/10.1007/978-981-19-0151-5_38

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-0150-8

  • Online ISBN: 978-981-19-0151-5

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