Williamson Fluid Flow Having Microorganisms Over a Permeable Shrinking Sheet


  • Nepal Chandra Roy Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
  • Goutam Saha Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
  • Suvash C Saha School of Mechanical & Mechatronic Engineering, University of Technology Sydney, NSW 2007, Australia


Boundary layer, Dual solutions, Microorganisms, Shrinking sheet, Williamson fluid


This study examines the characteristics of fluid flow of microorganisms over a permeable vertical shrinking sheet in the presence of a magnetic field and thermal radiation. The governing equations are simplified to a nonlinear system of ODEs and solved using the nonlinear shooting method. The results of the study show that an increase in certain parameters, such as the Eckert number and Hartmann number, leads to an increase in local skin friction coefficient and density of microorganisms, and a decrease in the local Nusselt number. However, when the Weissenberg number is higher, the opposite characteristics are observed. The study also found that the domain of dual solutions increases with the increase of certain parameters but decreases with a higher Weissenberg number and boundary layer separation is delayed with the increase of dual solutions.


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How to Cite

Roy, N. C., Saha, G., & Saha, S. C. (2023). Williamson Fluid Flow Having Microorganisms Over a Permeable Shrinking Sheet. Science & Technology Asia, 28(3), 1–17. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/248131



Physical sciences