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Background <p>Radiative heat transport in viscoelastic liquids plays an important role in pharmaceutical manufacturing, polymer processing, and thermal engineering systems. The Upper Convected Maxwell (UCM) model, widely used to describe viscoelastic polymeric liquids, exhibits complex flow behavior influenced by electromagnetic effects and viscosity variations. Understanding how variable viscosity and radiation influence the flow and thermal fields between parallel plates is crucial for improving industrial processes.</p> Purpose <p>This work examines the combined effects of variable viscosity and radiative heat transport on UCM fluid flow between parallel plates. Special emphasis is placed on evaluating the influence of key dimensionless variables on the temperature and velocity fields.</p> Methods <p>The governing nonlinear differential equations for UCM fluid flow are transformed into ordinary differential equations using similarity transformations. These equations are solved computationally using the Least Squares Method (LSM). Parametric analyses are performed for the Prandtl number, Deborah number, Hartmann number, radiation parameter, and Reynolds number. Contour visualizations are generated to assess momentum and thermal transport characteristics.</p> Results <p>The results show that increasing the Hartmann number from 1 to 3 induces stronger Lorentz-force damping, reducing the near-wall velocity from approximately 1.44 to 1.24 (a 13.9% decrease). In contrast, increasing the Deborah number (De) from 0.5 to 2.0 produces only minor changes in velocity, indicating the dominance of electromagnetic forces over elastic relaxation effects. Higher radiation parameter values significantly increase the temperature field, demonstrating radiation-driven thermal enhancement. Contour plots reveal that increasing porosity sharpens velocity gradients, whereas radiation broadens temperature fields—indicating opposing influences on momentum and heat transport.</p> Conclusions <p>Variable viscosity and radiative heat transport strongly affect UCM fluid behavior in channel flow. Electromagnetic effects govern momentum suppression, while radiation enhances temperature distributions. These findings provide valuable insights for optimizing thermal management and flow control in pharmaceutical systems, polymer processing, and industrial heat exchangers, contributing to improved efficiency and product quality in polymeric manufacturing environments.</p>

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Modeling and Simulation of Radiated Upper Convected Maxwell Fluid Flow in a Parallel Plate Channel

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • Shahid Rafiq,
  • Ali B. M. Ali,
  • Salma Aslam,
  • F. F. Al-Harbi,
  • Hameed Ullah,
  • Dilsora Abduvalieva,
  • Nadia Batool

摘要

Background

Radiative heat transport in viscoelastic liquids plays an important role in pharmaceutical manufacturing, polymer processing, and thermal engineering systems. The Upper Convected Maxwell (UCM) model, widely used to describe viscoelastic polymeric liquids, exhibits complex flow behavior influenced by electromagnetic effects and viscosity variations. Understanding how variable viscosity and radiation influence the flow and thermal fields between parallel plates is crucial for improving industrial processes.

Purpose

This work examines the combined effects of variable viscosity and radiative heat transport on UCM fluid flow between parallel plates. Special emphasis is placed on evaluating the influence of key dimensionless variables on the temperature and velocity fields.

Methods

The governing nonlinear differential equations for UCM fluid flow are transformed into ordinary differential equations using similarity transformations. These equations are solved computationally using the Least Squares Method (LSM). Parametric analyses are performed for the Prandtl number, Deborah number, Hartmann number, radiation parameter, and Reynolds number. Contour visualizations are generated to assess momentum and thermal transport characteristics.

Results

The results show that increasing the Hartmann number from 1 to 3 induces stronger Lorentz-force damping, reducing the near-wall velocity from approximately 1.44 to 1.24 (a 13.9% decrease). In contrast, increasing the Deborah number (De) from 0.5 to 2.0 produces only minor changes in velocity, indicating the dominance of electromagnetic forces over elastic relaxation effects. Higher radiation parameter values significantly increase the temperature field, demonstrating radiation-driven thermal enhancement. Contour plots reveal that increasing porosity sharpens velocity gradients, whereas radiation broadens temperature fields—indicating opposing influences on momentum and heat transport.

Conclusions

Variable viscosity and radiative heat transport strongly affect UCM fluid behavior in channel flow. Electromagnetic effects govern momentum suppression, while radiation enhances temperature distributions. These findings provide valuable insights for optimizing thermal management and flow control in pharmaceutical systems, polymer processing, and industrial heat exchangers, contributing to improved efficiency and product quality in polymeric manufacturing environments.