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<p>Curved stretching sheet plays a crucial role in many biological and engineering applications where better regulation of heat transmission is needed. Thermal management in aeronautical and microfluidic systems, biomedical flow modelling (such as blood flow) and heat exchanger design may all be enhanced by combining micro-polar fluid dynamics with curved geometries. The objective of the present study is to explore the flow of micropolar fluid across a curved sheet in the presence of mixed convection and exponential space-dependent heat sources. Additionally, non-linear radiation and melting heat transfer are also considered. The findings of this study are applicable to aerospace thermal protection, metallurgical processing, energy systems, biomedical heat treatments, and electronics cooling. It is possible to simplify the flow-governing equations from a system of partial differential equations (PDE) to a system of ordinary differential equation (ODE) by using similarity transformations. The MATLAB built-in package “bvp5c” is used in a shooting strategy to solve the resultant governing equations and to extract the numerical results. The effect of dimensionless values is shown graphically when the system of non-dimensional form of differential equations is achieved. The results that have been published are in conformity with what has been found in the literature. It is observed that, increasing the curvature parameter leads to a reduction in the Nusselt number because it reduces the temperature gradient at the surface, lowering the rate of heat transfer. Furthermore, Prandtl number decreases the rate of heat transport. The results have important ramifications for fields including chemical engineering, materials science, and aerospace where heat transfer and MHD flows are crucial.</p>

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Numerical Study on Mixed Convection of Micropolar Fluid Over Curved Stretching Sheet with Non-Linear Radiation, Heat Generation and Melting

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. S. Arya,
  • N. Gururaj,
  • M. V. V. N. L. Sudharani,
  • M. G. Reddy,
  • K. Ganesh Kumar

摘要

Curved stretching sheet plays a crucial role in many biological and engineering applications where better regulation of heat transmission is needed. Thermal management in aeronautical and microfluidic systems, biomedical flow modelling (such as blood flow) and heat exchanger design may all be enhanced by combining micro-polar fluid dynamics with curved geometries. The objective of the present study is to explore the flow of micropolar fluid across a curved sheet in the presence of mixed convection and exponential space-dependent heat sources. Additionally, non-linear radiation and melting heat transfer are also considered. The findings of this study are applicable to aerospace thermal protection, metallurgical processing, energy systems, biomedical heat treatments, and electronics cooling. It is possible to simplify the flow-governing equations from a system of partial differential equations (PDE) to a system of ordinary differential equation (ODE) by using similarity transformations. The MATLAB built-in package “bvp5c” is used in a shooting strategy to solve the resultant governing equations and to extract the numerical results. The effect of dimensionless values is shown graphically when the system of non-dimensional form of differential equations is achieved. The results that have been published are in conformity with what has been found in the literature. It is observed that, increasing the curvature parameter leads to a reduction in the Nusselt number because it reduces the temperature gradient at the surface, lowering the rate of heat transfer. Furthermore, Prandtl number decreases the rate of heat transport. The results have important ramifications for fields including chemical engineering, materials science, and aerospace where heat transfer and MHD flows are crucial.