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Flow and thermal study of MHD Casson fluid past a moving stretching porous wedge

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Abstract

This research provides the analysis of an analytical method named Homotopy analysis method which is applied to examine the series solutions/results on the thermal boundary layer flow over an extend-ing wedge. The wedge is considered to be absorptive with the existence of Ohmic heating and thermal radiation. The problem is non-dimensionalized by implementing similarity variables. Finally and more generally some figures are sketched to demonstrate the accuracy of the applied method and pertinent parameters such as MHD, Prandtl number, suction/injection C parameter, mixed convective parameter, Eckert Ec number and radiation parameter are presented. An attractive chance is attained when our achieved calculations are compared with already existing results in a limiting case; hence, dependable outcomes are being reflected.

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Abbreviations

\(\Omega \) :

Wedge angle parameter

T w :

Temperature of the wall

\(T_{\infty }\) :

Temperature of free stream

Pr:

Prandtl number

\(\mu \) :

Fluid dynamic viscosity (Pas)

\(\upsilon \) :

Fluid kinematic viscosity

g :

Gravitational acceleration

Nr :

Radiation parameter

\(\beta \) :

Thermal expansion coefficient

k :

Thermal conductivity of the fluid (W m−1 K−1)

\(\sigma \) :

Electrical conductivity of the fluid,

\(\rho \) :

Density of fluid (kg m−3)

\(B_{0}\) :

Magnetic field

C :

Mass Transfer

C p :

Specific heat (J kg−1 K−1)

E c :

Eckert number

\(\updelta \) :

Casson fluid parameter

U :

Free stream velocity

\(\theta \) :

Dimensionless temperature

M :

MHD

Gr:

Grashof number

Re:

Reynolds number

\(\sigma ^{*}\) :

Stefan-Boltzman constant

\(k^{*}\) :

Spectral mean absorption Coefficient

\(\lambda \) :

Mixed convection parameter

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Acknowledgements

The author Dr. Majid Hussain acknowledge the financial support provided by the Higher Education Commission Pakistan, under National Research Program for Universities No: 9145/Punjab/NRPU/R&D/HEC/ 2017, for this work.

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Authors and Affiliations

  1. Department of Natural Sciences and Humanities, University of Engineering and Technology Lahore, Lahore, 54890, Pakistan

    Majid Hussain

  2. Department of Mathematics, Government College University Faisalabad, Lahore, 38000, Pakistan

    Akhtar Ali

  3. Department of Mathematics, Ghazi University, D G Khan, 32200, Pakistan

    Abdul Ghaffar

  4. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Mustafa Inc

  5. Department of Mathematics, Firat University, 23119, Elazig, Turkey

    Mustafa Inc

  6. Department of Medical Research, China Medical University Hospital China Medical University, Taichung, Taiwan

    Mustafa Inc

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  1. Majid Hussain
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Hussain, M., Ali, A., Ghaffar, A. et al. Flow and thermal study of MHD Casson fluid past a moving stretching porous wedge. J Therm Anal Calorim 147, 6959–6969 (2022). https://doi.org/10.1007/s10973-021-10983-0

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