Magnetohydrodynamic squeezing Casson nanofluid flow between parallel convectively heated disks

Author:

Umavathi J. C.1,Prakasha D. G.2,Alanazi Yousef M.3,Lashin Maha M. A.4,Al-Mubaddel Fahad S.56,Kumar Raman7,Gowda R. J. Punith2ORCID

Affiliation:

1. Department of Mathematics, Gulbarga University, Gulbarga 585 106, Karnataka, India

2. Department of Studies and Research in Mathematics, Davangere University, Davangere, Karnataka, India

3. Chemical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia

4. Electrical Engineering Department, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

5. Department of Chemical Engineering, King Saud University, Riyadh 11421, Saudi Arabia

6. King Abdullah City for Renewable and Atomic Energy:, Energy Research and Innovation Center (ERIC), Riyadh 11451, Saudi Arabia

7. Department of Mechanical Engineering and University Centre, for Research & Development, Chandigarh University, Mohali 140413, Punjab, India

Abstract

Squeezing flow of Casson liquid between two disks is a practical application in compression, polymer processing and injection molding. In this paper, the Casson liquid flow between two convectively heated disks is analyzed using Buongiorno model. Further, the heat and mass transport analysis is done by considering the impact of heat source/sink and activation energy. The continuity and momentum equations governing the unsteady two-dimensional flow are derived using conservative laws. The equations are reformulated using the similarity transformations and the reformulated equations are solved numerically with MATLAB routine bvp4c. The effect of embedding different physical parameters on the flow is analyzed through the graphs for both suction and blowing cases along with comprehensive solutions and equal Biot numbers. Results are validated with the existing literature. For both suction and blowing cases, squeezing number decreases the velocity near the lower disk but increases the velocity near the upper disk. Increasing magnetic field strength slightly increases velocity near the lower disk for equal Biot numbers.

Funder

Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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