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Thermo-mechanical analysis of non Newtonian peristaltic mechanism: Modified heat flux model

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  • Mehmood, Obaid Ullah
  • Qureshi, Ayesha Aleem
  • Yasmin, Humaira
  • Uddin, Salah

Abstract

In this study, Cattaneo–Christov heat flux through non-Newtonian peristaltic flow in a two dimensional asymmetric channel is investigated. Non-Newtonian features are characterized by the constitutive relationships of the second order fluid. Series solutions are derived about wave number for highly nonlinear coupled equations. Detailed analysis of the emerging parameters of interest on the flow quantities is presented. Vanishing the relaxation time of Cattaneo–Christov​ heat flux model leads the results to a limiting case of Fourier’s law. It is concluded that in the vicinity of upper boundary convective heat transfer is dominant while at the centerline the conductive heat transfer is dominant. Further, non-Newtonian fluid film near the upper boundary faces severe friction while at lower boundary it goes through lesser friction. Wavy boundaries bring oscillatory nature in the heat transfer coefficient. Moreover, Cattaneo–Christov heat flux plays a vital role in the enhancement of fluid temperature above the centerline.

Suggested Citation

  • Mehmood, Obaid Ullah & Qureshi, Ayesha Aleem & Yasmin, Humaira & Uddin, Salah, 2020. "Thermo-mechanical analysis of non Newtonian peristaltic mechanism: Modified heat flux model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    • Handle: RePEc:eee:phsmap:v:550:y:2020:i:c:s0378437119322216
    DOI: 10.1016/j.physa.2019.124014
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    References listed on IDEAS

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    1. Sivasankaran, S. & Alsabery, A.I. & Hashim, I., 2018. "Internal heat generation effect on transient natural convection in a nanofluid-saturated local thermal non-equilibrium porous inclined cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 275-293.
    2. Hajmohammadi, M.R. & Haji Molla Ali Tork, M.H., 2019. "Effects of the magnetic field on the cylindrical Couette flow and heat transfer of a nanofluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 234-245.
    3. Ahmed Zeeshan & Nouman Ijaz & Tehseen Abbas & Rahmat Ellahi, 2018. "The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body," Sustainability, MDPI, vol. 10(8), pages 1-17, July.
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    Cited by:

    1. Humaira Yasmin & Naveed Iqbal & Anum Tanveer, 2020. "Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions," Mathematics, MDPI, vol. 8(10), pages 1-21, October.

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