<p>The primary objective of this study is to investigate the impact of thermophoretic particle deposition and external linear or exponential heat sources or sinks on the heat and mass transfer of a ternary hybrid nanofluid in a porous, bidirectional stretching surface. The Hamilton Crosser model is used to forecast the ternary hybrid nanofluid’s thermal conductivity. The mathematical modeling of the current problem resulted in a complex, highly nonlinear system of partial differential equations. These formulas are resolved by using self-similarity transformations as well as the Galerkin finite element method. The obtained numerical results are compared with the existing literature in a limiting sense, and a good agreement is noticed. The obtained findings are visually shown and examined. The velocity behavior with buoyancy depends on the flow configuration: For assisting flow, an increase in the buoyancy parameter enhances the velocity due to additional thermal and solutal driving forces. In contrast, for opposing flow, buoyancy acts against the main stream, leading to a reduction in velocity, particularly near the surface. A negative heat sink reduces the temperature by removing heat from the system, whereas a positive heat source increases the temperature by adding heat to it. The mass transfer rate decreases with increasing the thermophoretic particle deposition parameter. The present study is essential for maximizing mass and heat transmission in various applications, such as material processing, energy conversion, and thermal management.</p>

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GFEM simulation of coupled thermophoretic deposition and linear–exponential heat source/sink effects on MHD double-diffusive convection of ternary hybrid nanofluid in a bidirectional stretching Darcy porous medium

  • B. Shilpa,
  • Irfan Anjum Badruddin,
  • Sarfaraz Kamangar,
  • Bilal Akbar Chuddher,
  • Essam R. I. Mahmoud

摘要

The primary objective of this study is to investigate the impact of thermophoretic particle deposition and external linear or exponential heat sources or sinks on the heat and mass transfer of a ternary hybrid nanofluid in a porous, bidirectional stretching surface. The Hamilton Crosser model is used to forecast the ternary hybrid nanofluid’s thermal conductivity. The mathematical modeling of the current problem resulted in a complex, highly nonlinear system of partial differential equations. These formulas are resolved by using self-similarity transformations as well as the Galerkin finite element method. The obtained numerical results are compared with the existing literature in a limiting sense, and a good agreement is noticed. The obtained findings are visually shown and examined. The velocity behavior with buoyancy depends on the flow configuration: For assisting flow, an increase in the buoyancy parameter enhances the velocity due to additional thermal and solutal driving forces. In contrast, for opposing flow, buoyancy acts against the main stream, leading to a reduction in velocity, particularly near the surface. A negative heat sink reduces the temperature by removing heat from the system, whereas a positive heat source increases the temperature by adding heat to it. The mass transfer rate decreases with increasing the thermophoretic particle deposition parameter. The present study is essential for maximizing mass and heat transmission in various applications, such as material processing, energy conversion, and thermal management.