Delta Perturbation Method for Couette-Poiseuille flows in Third grade fluids


  • Kamran Nazir Memon Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan;
  • Ahsan Mushtaque Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan;
  • Fozia Shaikh Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro , Sindh, Pakistan
  • AA Ghoto Department of BSRS, QUEST Nawabshah, Sindh, Pakistan
  • A. M. Siddiqui Pennsylvania State University, York Campus, Edgecombe 17403, USA



This work uses the Delta Perturbation Method (DPM) to theoretically evaluate the steady plane Couette-Poiseuille flowbetween two parallel plates for third-grade fluid.That'sa kind of perturbation approach and was deliveredwith the aid of Bender and his colleagues in the 1980s. Utilizing DPM, analytical solutions have been found from the governing continuity and momentum equations subject to the necessary boundary conditions. In this proposed model, the Newtonian solution is obtained through the substitution. It is possible to measure the velocity field, temperature distribution, volumetric flow rate, and average velocity of the fluid flow. We derived that the third-grade fluid's velocity will change in response to an increasing material constant from the visual and table representations of the impacts of different parameters on the velocity and temperature profiles.The suggested model additionally mentions temperature distribution losses with increases in thermal conductivity  and rises as a result of increases of dynamic viscosity , constant parameters and and material constant. Here we have also find out that temperature distribution and velocity profile enhance with higher magnitude of pressure gradient


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How to Cite

Memon, K. N., Mushtaque, A., Shaikh, F., Ghoto, A., & Siddiqui, A. M. (2022). Delta Perturbation Method for Couette-Poiseuille flows in Third grade fluids. VFAST Transactions on Mathematics, 10(2), 01–12.