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<p>Industrial and biomedical applications do not undergo constant viscosity nor uniform porous media matrix as predicted in numerous studies. Technically, results from such investigations are subjected to deficiencies in the quantitative accuracy required to perfect designs of engineering and biomedical systems. As such, the current investigation contributes to the existing literature by introducing thermal radiation, geothermal viscosity and variable Darcy phenomenon into the unsteady Casson fluid flow over a porous and stretchable plate. The unsteady flow of Casson-based fluid conveying nanoparticles mixture under Buongiorno’s model is proposed. Additionally, dynamics of thermophoresis, Brownian motion, dissipative heat and convective heating are discussed in the considered medium. The dynamical ordinary differential equations resulting from the model assumptions are solved numerically using an efficient spectral collocation method (SCM). The findings enumerate that, a rise in geothermal viscosity and continuous injection of Casson fluid declined the energy distribution across the flow region. Increase in porous matrix (i.e., <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2024_722_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="71" /> </InlineMediaObject> <EquationSource Format="TEX">\(Da \rightarrow \infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <mi>a</mi> <mo stretchy="false">→</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation>) resulted in lower friction force, a corresponding increase in the flow velocity and a reduction in heat and mass transfer distribution across the system. Response of thermal Biot number enumerates the potential interaction within flowing surface and Casson fluid, aiding in the design and analysis of energy transfer across different systems. An enhanced heat transfer, a suppressed skin friction, and diffusion rate are attributed to the variable viscosity model compared to the constant model. Moreover, the present study in comparison with previous literature provided a good agreement.</p>

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Geothermal viscosity in unsteady hydro-magnetic boundary layer flow of Casson fluid conveying nanoparticle mixture

  • 期刊论文

  • 发表日期：

    2025年1月16日

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  • Mojeed T. Akolade,
  • Mathew F. Oyedotun,
  • Abdulhakeem Yusuf,
  • Stephen A. Oyedotun,
  • Folasade M. Adedeji,
  • Rotimi O. Folaranmi,
  • Ayorinde P. Likinyo

摘要

Industrial and biomedical applications do not undergo constant viscosity nor uniform porous media matrix as predicted in numerous studies. Technically, results from such investigations are subjected to deficiencies in the quantitative accuracy required to perfect designs of engineering and biomedical systems. As such, the current investigation contributes to the existing literature by introducing thermal radiation, geothermal viscosity and variable Darcy phenomenon into the unsteady Casson fluid flow over a porous and stretchable plate. The unsteady flow of Casson-based fluid conveying nanoparticles mixture under Buongiorno’s model is proposed. Additionally, dynamics of thermophoresis, Brownian motion, dissipative heat and convective heating are discussed in the considered medium. The dynamical ordinary differential equations resulting from the model assumptions are solved numerically using an efficient spectral collocation method (SCM). The findings enumerate that, a rise in geothermal viscosity and continuous injection of Casson fluid declined the energy distribution across the flow region. Increase in porous matrix (i.e., \(Da \rightarrow \infty \) D a → ∞ ) resulted in lower friction force, a corresponding increase in the flow velocity and a reduction in heat and mass transfer distribution across the system. Response of thermal Biot number enumerates the potential interaction within flowing surface and Casson fluid, aiding in the design and analysis of energy transfer across different systems. An enhanced heat transfer, a suppressed skin friction, and diffusion rate are attributed to the variable viscosity model compared to the constant model. Moreover, the present study in comparison with previous literature provided a good agreement.