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<p>In this paper, the numerical study is conducted to analyse the boundary layer flow of generalized Newtonian fluid models for von Karman problem due to rotating disk by using the Milne’s predictor and corrector method along with the Runge–Kutta technique. The Milne's predictor and corrector method is useful in several domains, including physics and engineering, where systems can be characterized using ODEs. It’s particularly effective when high&#xa0;accuracy and efficiency are required over wide intervals. The significance flow analysis of power law fluid model, Bingham fluid model and Carreau fluid model on the rotating disk is investigated in this work. The Generalized viscosity models is considered to determine its significance on heat flow problem. Furthermore, we have expanded our study by taking into consideration the effects of heat generation and activation energy. The results provide more precise description of these power law fluid models on heat and mass transfer phenomena. The flow inside the boundary-layer is calculated through similarities solution in the limit of large Reynolds number. The flow generating non-linear partial differential equations are converted into dimensionless form by using appropriate transformations. The resulting ordinary differential equations are solved numerically by using Milne’s method on MATLAB software. Influence of different parameters on velocity/concentration/temperature profile are highlighted through graphs. This work concluded that the radial component of velocity concentrate near the rotating surface when power-law index raises and so the boundary-layer thickness minimizes. The radial component of velocity moves away from rotating surface when Bingham parameter increases. For numerous values of power-law index, the azimuthal velocity turns down and the azimuthal velocity turns up due to increase in values of Bingham parameter. The velocity profile remains unchanged for numerous values of Carreau model’s parameter. The improvement in the temperature profile is observed for heat generation parameter, Damkholer number, activation energy and temperature difference operator. The concentration diffusion rate falls by augmentation in values of Damkholer number, activation energy.</p>

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Numerical computation of heat and mass transport for the higher Reynolds stress tensor modelling of generalised Newtonian fluid in a rotating surface: Milne’s predictor corrector method

  • 期刊论文

  • 发表日期：

    2025年2月26日

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  • T. Salahuddin,
  • Rafaqat Ali,
  • Muhammad Awais,
  • Mair Khan

摘要

In this paper, the numerical study is conducted to analyse the boundary layer flow of generalized Newtonian fluid models for von Karman problem due to rotating disk by using the Milne’s predictor and corrector method along with the Runge–Kutta technique. The Milne's predictor and corrector method is useful in several domains, including physics and engineering, where systems can be characterized using ODEs. It’s particularly effective when high accuracy and efficiency are required over wide intervals. The significance flow analysis of power law fluid model, Bingham fluid model and Carreau fluid model on the rotating disk is investigated in this work. The Generalized viscosity models is considered to determine its significance on heat flow problem. Furthermore, we have expanded our study by taking into consideration the effects of heat generation and activation energy. The results provide more precise description of these power law fluid models on heat and mass transfer phenomena. The flow inside the boundary-layer is calculated through similarities solution in the limit of large Reynolds number. The flow generating non-linear partial differential equations are converted into dimensionless form by using appropriate transformations. The resulting ordinary differential equations are solved numerically by using Milne’s method on MATLAB software. Influence of different parameters on velocity/concentration/temperature profile are highlighted through graphs. This work concluded that the radial component of velocity concentrate near the rotating surface when power-law index raises and so the boundary-layer thickness minimizes. The radial component of velocity moves away from rotating surface when Bingham parameter increases. For numerous values of power-law index, the azimuthal velocity turns down and the azimuthal velocity turns up due to increase in values of Bingham parameter. The velocity profile remains unchanged for numerous values of Carreau model’s parameter. The improvement in the temperature profile is observed for heat generation parameter, Damkholer number, activation energy and temperature difference operator. The concentration diffusion rate falls by augmentation in values of Damkholer number, activation energy.