On Exact Solution of MHD Jeffery Fluid Flow Equations with Heat Transfer

This paper aims to determine the exact solutions of the magnetohydrodynamic (MHD) equations for Jeffery fluid with heat transfer. The governing nonlinear partial differential equations for an incompressible Jeffery fluid are reduced to ordinary differential equations using wave parameters. Exact sol...

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Bibliographic Details
Published inInternational journal of applied and computational mathematics Vol. 11; no. 2
Main Authors Kumar, Satish, Deo, Satya
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.04.2025
Springer Nature B.V
Subjects
Applications of Mathematics
Computational Science and Engineering
Exact solutions
Flow equations
Fluid flow
Heat transfer
Incompressible flow
Magnetohydrodynamic flow
Magnetohydrodynamics
Mathematical analysis
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Partial differential equations
Temperature distribution
Theoretical
Traveling waves
Velocity distribution
Jeffery fluid
76A05
MHD
Traveling wave
76D05
Heat transfer
Exact solution
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ISSN2349-5103
2199-5796
DOI10.1007/s40819-025-01878-x

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Summary:This paper aims to determine the exact solutions of the magnetohydrodynamic (MHD) equations for Jeffery fluid with heat transfer. The governing nonlinear partial differential equations for an incompressible Jeffery fluid are reduced to ordinary differential equations using wave parameters. Exact solutions to the MHD flow equations of Jeffery fluid are obtained via the traveling wave methodology, which linearizes the flow equations without requiring excessive transformation. This study provides precise solutions for MHD Jeffery fluids with heat transfer, which are essential for simulation and validating data-driven results. The analytical expressions for temperature distribution and velocity components have been established for MHD Jeffery fluid flow, supported by earlier findings. Two-dimensional (2D) and three-dimensional (3D) graphical visualizations have been employed to study the effects of the spatial variable x and time t on the temperature distribution and velocity profiles of fluid motion.
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ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-025-01878-x