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<p>In coaxial machinery, lubrication through a thin fluid film is formed between rotating cylinders to minimize the internal friction, reduce shear, and enhance overall machine performance, ensuring smooth and efficient operation. Excessive heating caused due to the friction during operation can lead to significant damage to machinery. Resolving this issue, the present study focuses on optimizing the heat transfer rate of a magnetized viscous lubricant flow between an expanding inner cylinder and an encircled outer cylinder. The integrated influence of viscous dissipation, joule heating along with the impact of non-uniform heat source enriches the study and have gained extensive interest for their energy transfer characteristics and potential applications. The dimensional Navier stokes and energy equations are reformulated into their non-dimensional ordinary differential equation (ODE) forms to simplify the analysis. To obtain numerical solutions, the simplified ODEs are tackled using the shooting method integrated with a fourth-order Runge–Kutta scheme. A further extension is made to analyze the heat transfer behavior through sensitivity analysis using response surface methodology (RSM). The stimulus of the temperature-dependent heat source, Eckert number, and magnetic parameter on the Nusselt number in the present study is examined using 2D and 3D surface plots. The findings reveal that steady MHD flow improves thermal distribution under the influence of magnetic field strength, Eckert number, and spatially varying heat sources, leading to improved thermal conductivity for efficient temperature control in lubrication mechanisms and better heat management in machinery. Moreover, sensitivity analysis offers valuable insights for optimizing and controlling the energy transfer rate in viscous lubricant flows, facilitating the design of more effective thermal management systems. </p>

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Optimization of heat transfer in MHD viscous flow through coaxial stretching and rotating cylinders with dissipative effects: applications in mechanical lubrication systems

  • 期刊论文

  • 发表日期：

    2025年5月21日

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  • Biswas Arpita,
  • Ram Prakash Sharma,
  • Utpal Kumar Saha

摘要

In coaxial machinery, lubrication through a thin fluid film is formed between rotating cylinders to minimize the internal friction, reduce shear, and enhance overall machine performance, ensuring smooth and efficient operation. Excessive heating caused due to the friction during operation can lead to significant damage to machinery. Resolving this issue, the present study focuses on optimizing the heat transfer rate of a magnetized viscous lubricant flow between an expanding inner cylinder and an encircled outer cylinder. The integrated influence of viscous dissipation, joule heating along with the impact of non-uniform heat source enriches the study and have gained extensive interest for their energy transfer characteristics and potential applications. The dimensional Navier stokes and energy equations are reformulated into their non-dimensional ordinary differential equation (ODE) forms to simplify the analysis. To obtain numerical solutions, the simplified ODEs are tackled using the shooting method integrated with a fourth-order Runge–Kutta scheme. A further extension is made to analyze the heat transfer behavior through sensitivity analysis using response surface methodology (RSM). The stimulus of the temperature-dependent heat source, Eckert number, and magnetic parameter on the Nusselt number in the present study is examined using 2D and 3D surface plots. The findings reveal that steady MHD flow improves thermal distribution under the influence of magnetic field strength, Eckert number, and spatially varying heat sources, leading to improved thermal conductivity for efficient temperature control in lubrication mechanisms and better heat management in machinery. Moreover, sensitivity analysis offers valuable insights for optimizing and controlling the energy transfer rate in viscous lubricant flows, facilitating the design of more effective thermal management systems.