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article · Case Studies in Thermal Engineering

Heat and mass transfer analysis above an unsteady infinite porous surface with chemical reaction

202239 citationsOpen accessKafr el-Sheikh University

In plain language

This research evaluates the behaviour of viscous nanofluid flow alongside heat and mass transfer over a porous flat surface exposed to a constant magnetic field. The governing model incorporates physical factors including Brownian motion, thermophoresis, and viscous dissipation. By applying suitable transformations, the system of governing equations is converted into conventional non-linear differential equations and solved numerically using the boundary value problem routine in MATLAB, matching a convergence threshold of 10−6. The resulting profiles for velocity, temperature, and concentration are determined by the physical characteristics of the system. Numerical findings reveal that an increase in the Prandtl number raises both the Sherwood and Nusselt numbers, whereas Brownian motion reduces the Sherwood number. Furthermore, higher values of the viscoelastic parameter elevate skin friction and diminish the Nusselt number.

Key takeaways

  • An increase in the Prandtl number enhances both the Sherwood number and the Nusselt number.
  • Higher Brownian motion reduces mass transfer as reflected in a lower Sherwood number.
  • An increased viscoelastic parameter produces higher skin friction.
  • Elevating the viscoelastic parameter reduces thermal transfer by lowering the Nusselt number.

Why it matters

Gaining an accurate understanding of nanofluid mechanics over porous boundaries in the presence of magnetic fields is critical for thermal analysis. These numerical solutions clarify how fluid elasticity, particle movement, and thermal properties alter surface friction and thermal dissipation, providing foundational insight into the mathematical relationships governing complex fluid behaviour.

Commercialisation angle

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Abstract

The flow of viscous nanofluid with heat and mass transmission above a porous flat surface in the existence of a constant magnetic field is addressed in this article. Brownian motion, Thermophoresis, and viscous dissipation are all taken into account. The motion is described by a system of equations that are transformed into conventional non-linear differential equations by appropriate transformations and then tackled numerically using the boundary value problem approach at MATLAB. The convergence criterion for the solution is 10−6. The found solutions are functions of the problem's physical properties. The effects of different study parameters for velocity, temperature, and concentration profiles are explored through graphs and tables. An increase in the Prandtl number increases the Sherwood and Nusselt number while Brownian motion reduces the Sherwood number. Viscoelastic parameter increases the skin friction and decreases the nusselt number.

Research topics

  • Nanofluid Flow and Heat Transfer
  • Fluid Dynamics and Turbulent Flows
  • Heat Transfer Mechanisms

Read the original research

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DOI: 10.1016/j.csite.2022.102140

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