Numerical Simulations of Tangent Hyperbolic Fluid Flow is Performed on the Upper Horizontal Surface of a Paraboloid of Revolution by Keller Box Method

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Capital University of Science and Technology Islamabad, Pakistan.

2 Department of Mathematics, National University of Modern Languages, Islamabad, Pakistan.

10.22034/cmde.2026.67348.3202

Abstract

This study examines tangent hyperbolic fluid flow over a paraboloid surface in the presence of quartic autocatalytic chemical reactions between homogeneous and heterogeneous phases. The model incorporates thermal radiation, spatially varying heat generation, Brownian motion, thermophoresis, and an external magnetic field. The governing equations are reduced to nonlinear ODEs and solved using the Keller Box Method, effectively capturing the shear-thinning nature of the fluid. Results reveal that radiation and heat generation strongly influence temperature distribution, while Brownian and thermophoretic effects modify flow and thermal fields. Furthermore, increasing magnetic strength and Weissenberg number enhances the Nusselt number, indicating improved heat transfer through magnetic effects and fluid elasticity.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 20 April 2026

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History

  • Receive Date: 17 May 2025
  • Revise Date: 01 January 2026
  • Accept Date: 14 April 2026

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