International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2546

Article in Press

Bifurcation and thermal analysis on the peristaltic flow of a hyperbolic tangent fluid by lubricated walls

W. Mahmood*, M. Sajid, M. N. Sadiq, N. Ali and K. Ullah

  •  Received: 17 June 2022
  •  Accepted: 26 July 2022
The goal of this theoretical study is to examine the impact of the lubricated walls on the peristaltic transport of a hyperbolic tangent fluid in an asymmetric medium. The interfacial condition is derived under the assumptions of thin film lubrication and long wavelength approximation. The dynamical system theory is utilized to analyze the lubrication effects on the position and bifurcation of stagnation points in the flow. For this three flow distributions, backward flow, trapping and augmented flow are discussed. The obtained system of equation is solved numerically by shooting method based on Newton Raphson root finding algorithm in Mathematica. The prime findings for the velocity profile, pressure increase, temperature distribution, concentration, and trapping are illustrated using graphs and tables. Remarkably, 25% increase in the velocity at lower lubricated wall of the channel is predicted. Temperature profile also indicates the increase in temperature up to 104% in which Brinkman number plays an important role. Furthermore, lubrication parameter and Brinkman number reduce the concentration upto 216% near the upper wall of the channel.

Keywords: asymmetric channel, interfacial boundary condition, peristaltic motion, hyperbolic tangent fluid, heat and mass transfer analysis, bifurcation analysis.