A Study on Thermo-Viscous Steady Fluid Motion through a Moving Rectangular Flat Plate – A Numerical Approach

  • N. Pothanna Department of Mathematics, VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad, Telangana, India https://orcid.org/0000-0003-3983-3125
  • P. Raja Shekar Department of Mathematics, VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad, Telangana, India https://orcid.org/0000-0003-4028-4688
  • Jyotsna Cherukuri Department of Chemistry, VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad, Telangana, India https://orcid.org/0000-0002-9861-7978
  • L. Srinivasa Rao Centre for Nanoscience and Technology, Department of Physics, VNR Vignana Jyothi Institute of Engineering and Technology, Bachupally, HYD., TG, India https://orcid.org/0000-0001-9249-1713
  • Adigoppula Raju Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, India https://orcid.org/0000-0002-8927-3376
  • Devunuri Suresh Department of Automobile Engineering, VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad, Telangana, India https://orcid.org/0000-0002-0533-8604
DOI: https://doi.org/10.26565/2312-4334-2026-1-53
Keywords: Thermo-viscous fluid, ND Solve, R-K 6th order Method, Permeability, Thermal Conductivity

Abstract

This study presents a novel numerical approach for analysis on thermo-viscous steady fluid motion over the moving rectangular permeable objects . The numerical results have been found employing Runge-Kutta method of order 6 shooting techniques developed in Mathematica software Numerical differentiation(ND) solve for the flow adaptable equations comprising temperature and velocity. The flow behavior and the impacts of material constraints on the flow region for governed equations of airflow around the aircrafts wings have been analyzed and deliberated taking the help from the generated graphs. The nonlinear coupled Partial differential equations(PDE’s) in terms of temperature and velocity, subject to the corresponding boundary conditions, control the fluid motion. The numerical computations of Runge-Kutta(R-K) 6th order results are presented in form of tables and also represented for numerous thermo physical coefficient values. The variations of these flow fields have been studied for wide spectrum of physical characteristics which influences the nature of thermo-viscous fluid. The impact of suction/injection parameter, dimensionless viscosity factor, constant pressure and temperature gradients, thermo physical factors and the Prandtl parameter effect on flow region have explored using graphical illustrations with the wide range of values. The Explicit numerical calculations also been calculated and results are associated through the current outcomes in the literature. To improve heat transfer rates in systems such as heat exchangers and aerospace components, engineers can optimize surface textures and flow conditions by taking coefficients effects on flow considerations into account.

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Published
2026-03-14
Cited
How to Cite
Pothanna, N., Shekar, P. R., Cherukuri, J., Rao, L. S., Raju, A., & Suresh, D. (2026). A Study on Thermo-Viscous Steady Fluid Motion through a Moving Rectangular Flat Plate – A Numerical Approach. East European Journal of Physics, (1), 460-472. https://doi.org/10.26565/2312-4334-2026-1-53
Issue
No. 1 (2026): East European Journal of Physics
Section
Original Papers

Copyright (c) 2026 N. Pothanna, P. Raja Shekar, Jyotsna Cherukuri, L. Srinivasa Rao, Adigoppula Raju, Devunuri Suresh

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