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Lie Group Analysis of Double Diffusive MHD Tangent Hyperbolic Fluid Flow over a Stretching Sheet

Author

Listed:
  • Salman Zeb
  • Suliman Khan
  • Zakir Ullah
  • Muhammad Yousaf
  • Ilyas Khan
  • Nawa Alshammari
  • Nur Alam
  • Nawaf N. Hamadneh
  • Mohammad Yaghoub Abdollahzadeh Jamalabadi

Abstract

In this study, we have used Lie group analysis procedure to propose a novel model for transforming the governing equations of double diffusive MHD hyperbolic tangent fluid flow model into a system of nonlinear ordinary differential equations (ODEs). The solution of these equations is then investigated numerically by employing Shooting method. We also reported and presented our results graphically illustrating the results and analysis of physical parameters on concentration, velocity, and temperature profiles and on other physical quantities present in the flow model. The results show that fluid temperature increases with rise in the modified Dufour and velocity slip parameters whereas opposite behavior is observed for thermal slip parameter. Moreover, the Nusselt number declines with enhanced values of modified Dufour parameter whereas its opposite effect has been observed for Dufour-solutal Lewis number and Prandtl number.

Suggested Citation

  • Salman Zeb & Suliman Khan & Zakir Ullah & Muhammad Yousaf & Ilyas Khan & Nawa Alshammari & Nur Alam & Nawaf N. Hamadneh & Mohammad Yaghoub Abdollahzadeh Jamalabadi, 2022. "Lie Group Analysis of Double Diffusive MHD Tangent Hyperbolic Fluid Flow over a Stretching Sheet," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, February.
    • Handle: RePEc:hin:jnlmpe:9919073
    DOI: 10.1155/2022/9919073
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    Cited by:

    1. Vellaboyina Nagendramma & Putta Durgaprasad & Narsu Sivakumar & Battina Madhusudhana Rao & Chakravarthula Siva Krishnam Raju & Nehad Ali Shah & Se-Jin Yook, 2022. "Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation," Mathematics, MDPI, vol. 10(14), pages 1-31, July.

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