Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet
This study presents a numerical analysis of magnetohydrodynamic (MHD) stagnation point flow of a hyperbolic tangent nanofluid (HTNF) over a linearly stretching surface, incorporating the effects of nonlinear heat generation/absorption, chemical reactions, and porous media resistance modeled by the D...
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2025-09-01
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author | Srinivas Reddy Kallem Siva Reddy Sheri Alfunsa Prathiba Perli Medhat M. Helal AI Ismail |
author_facet | Srinivas Reddy Kallem Siva Reddy Sheri Alfunsa Prathiba Perli Medhat M. Helal AI Ismail |
author_sort | Srinivas Reddy Kallem |
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description | This study presents a numerical analysis of magnetohydrodynamic (MHD) stagnation point flow of a hyperbolic tangent nanofluid (HTNF) over a linearly stretching surface, incorporating the effects of nonlinear heat generation/absorption, chemical reactions, and porous media resistance modeled by the Darcy–Forchheimer relation. The hyperbolic tangent fluid model, a key representative of non-Newtonian fluids, is employed due to its enhanced thermal conductivity under varying shear rates, making it suitable for advanced heat and mass transfer applications. Governing partial differential equations, derived from conservation laws and appropriate boundary conditions, are reduced to a system of nonlinear ordinary differential equations using similarity transformations. The resulting system is solved numerically via MATLAB's built-in bvp4c solver. A detailed parametric study is carried out to examine the effects of velocity ratio (λ), space- and temperature-dependent heat source/sink parameters (A, B), magnetic field intensity, Brownian motion, thermophoresis, chemical reaction rate, and porous medium properties on velocity, temperature, and concentration distributions. Key performance indicators including the skin friction coefficient, local Nusselt number, and Sherwood number are computed and analyzed to assess thermophysical behavior. Results reveal that increasing the chemical reaction rate enhances mass transfer by lowering nanofluid concentration, while higher stretching parameters suppress flow velocity and increase thermal and solutal boundary layers. The model generalizes flow over both linear and nonlinear stretching surfaces (n = 1 for linear), making it versatile for industrial applications. This work offers valuable insights for improving thermal regulation in MHD power systems, nuclear reactor cooling, aerospace thermal protection, and magnetically guided drug delivery. |
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language | English |
publishDate | 2025-09-01 |
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spelling | doaj-art-ac8bacce64fc47e7a11a94c67677b3d72025-06-25T04:52:11ZengElsevierResults in Engineering2590-12302025-09-0127105821Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheetSrinivas Reddy Kallem0Siva Reddy Sheri1Alfunsa Prathiba Perli2Medhat M. Helal3AI Ismail4Department of Mathematics, GITAM (Deemed to be University), Hyderabad, Telangana 502329, India; Corresponding author.Department of Mathematics, GITAM (Deemed to be University), Hyderabad, Telangana 502329, IndiaDepartment of Mathematics, CVR College of Engineering, Telanagana 501510, IndiaCivil engineering Department, College of engineering and architecture, UMM ALQURA UNIVERSITY, Saudi ArabiaMechanical engineering Department, College of engineering and architecture, UMM ALQURA UNIVERSITY, Saudi ArabiaThis study presents a numerical analysis of magnetohydrodynamic (MHD) stagnation point flow of a hyperbolic tangent nanofluid (HTNF) over a linearly stretching surface, incorporating the effects of nonlinear heat generation/absorption, chemical reactions, and porous media resistance modeled by the Darcy–Forchheimer relation. The hyperbolic tangent fluid model, a key representative of non-Newtonian fluids, is employed due to its enhanced thermal conductivity under varying shear rates, making it suitable for advanced heat and mass transfer applications. Governing partial differential equations, derived from conservation laws and appropriate boundary conditions, are reduced to a system of nonlinear ordinary differential equations using similarity transformations. The resulting system is solved numerically via MATLAB's built-in bvp4c solver. A detailed parametric study is carried out to examine the effects of velocity ratio (λ), space- and temperature-dependent heat source/sink parameters (A, B), magnetic field intensity, Brownian motion, thermophoresis, chemical reaction rate, and porous medium properties on velocity, temperature, and concentration distributions. Key performance indicators including the skin friction coefficient, local Nusselt number, and Sherwood number are computed and analyzed to assess thermophysical behavior. Results reveal that increasing the chemical reaction rate enhances mass transfer by lowering nanofluid concentration, while higher stretching parameters suppress flow velocity and increase thermal and solutal boundary layers. The model generalizes flow over both linear and nonlinear stretching surfaces (n = 1 for linear), making it versatile for industrial applications. This work offers valuable insights for improving thermal regulation in MHD power systems, nuclear reactor cooling, aerospace thermal protection, and magnetically guided drug delivery.http://www.sciencedirect.com/science/article/pii/S2590123025018924Stagnation point flowHyperbolic tangent nanofluidIrregular heat source/sinkDarcy-Forchheimer |
spellingShingle | Srinivas Reddy Kallem Siva Reddy Sheri Alfunsa Prathiba Perli Medhat M. Helal AI Ismail Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet Results in Engineering Stagnation point flow Hyperbolic tangent nanofluid Irregular heat source/sink Darcy-Forchheimer |
title | Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet |
title_full | Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet |
title_fullStr | Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet |
title_full_unstemmed | Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet |
title_short | Numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and Darcy-Forchheimer effects on stretching sheet |
title_sort | numerical investigation of tangent hyperbolic nanofluid with stagnation point flow of irregular heat and darcy forchheimer effects on stretching sheet |
topic | Stagnation point flow Hyperbolic tangent nanofluid Irregular heat source/sink Darcy-Forchheimer |
url | http://www.sciencedirect.com/science/article/pii/S2590123025018924 |
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