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Pressure‐Driven Thermal Slip Flow in the Elliptical Channel with Radial Oscillatory Wall

Author

Listed:
  • Nattawan Chuchalerm
  • Benchawan Wiwatanapataphee
  • Wannika Sawangtong

Abstract

This paper is aimed at presenting thermal slip flow driven by oscillatory pressure gradient in a deformable microchannel of elliptic cross‐section. The fully developed flow of Newtonian fluid is considered, and Navier slip is applied on the boundary. The boundary value problem is formulated and applied to the coronary blood flow‐heat transfer phenomenon during thermotherapy treatment. Its semianalytical solutions of velocity and temperature fields are carried out by the Ritz method. The effects of oscillatory wall and slip length on velocity and temperature fields of blood are investigated.

Suggested Citation

  • Nattawan Chuchalerm & Benchawan Wiwatanapataphee & Wannika Sawangtong, 2020. "Pressure‐Driven Thermal Slip Flow in the Elliptical Channel with Radial Oscillatory Wall," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:1693280
    DOI: 10.1155/2020/1693280
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    References listed on IDEAS

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    1. B.J., Gireesha & Umeshaiah, M. & Prasannakumara, B.C. & N.S., Shashikumar & Archana, M., 2020. "Impact of nonlinear thermal radiation on magnetohydrodynamic three dimensional boundary layer flow of Jeffrey nanofluid over a nonlinearly permeable stretching sheet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    2. Ayman Mahmoud Sobh, 2012. "Peristaltic Slip Flow of a Viscoelastic Fluid with Heat and Mass Transfer in a Tube," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-23, December.
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