Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations

This research aims to presents the free convective flow power law fluid due to vertical cone. The investigation for observing the heat transfer phenomenon is accounted to heat generation and radiative effects. The assumption of variable viscosity is taken into account. A vertical cone induced the flow. The dimensionless variables are followed to attains the simplified form. The numerical computations are performed with help of famous finite element method (FEM). The FEM algorithm is supported with applications of quadratic Lagrange polynomials. The results are confirmed with peak accuracy. The physical aspect of problem is presented in view of shear thickening, shear thinning and viscous material case. A comparative thermal reflection in absence and presence of heat generation have been endorsed. Moreover, the insight of various parameters on Nusselt number is also presented.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-09-23
DOI
https://doi.org/10.1016/j.padiff.2024.100927
Citations
1
Primary Topic
Nanofluid Flow and Heat Transfer
Type
article
Field-Weighted Citation Impact
0.18
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article

Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations

Mumtaz Khan, Sami Ullah Khan, Muhammad Mustahsan, Furqan Ahmad et al.
1 citations
Partial Differential Equations in Applied Mathematics
Nanofluid Flow and Heat Transfer
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article

Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations

Mumtaz Khan, Sami Ullah Khan, Muhammad Mustahsan, Furqan Ahmad, Barno Sayfutdinovna Abdullaeva, Shahid Rafiq, Muhammad Asim, Muhammad Waqas
article en
1 citations

Abstract

This research aims to presents the free convective flow power law fluid due to vertical cone. The investigation for observing the heat transfer phenomenon is accounted to heat generation and radiative effects. The assumption of variable viscosity is taken into account. A vertical cone induced the flow. The dimensionless variables are followed to attains the simplified form. The numerical computations are performed with help of famous finite element method (FEM). The FEM algorithm is supported with applications of quadratic Lagrange polynomials. The results are confirmed with peak accuracy. The physical aspect of problem is presented in view of shear thickening, shear thinning and viscous material case. A comparative thermal reflection in absence and presence of heat generation have been endorsed. Moreover, the insight of various parameters on Nusselt number is also presented.

Partial Differential Equations in Applied MathematicsVol. 12
Prince Mohammad bin Fahd University (SA), Islamia University of Bahawalpur (PK), Government Sadiq College Women University (PK), Namal University (PK), Western Caspian University (AZ), National University of Technology (PK), National Pedagogical University of Uzbekistan named after Nizami (UZ), Lebanese American University (LB)
Affordable and clean energy
Openalex Percentile: Top 52%
Nanofluid Flow and Heat Transfer
0.18
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