2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM)
| Format: | General Document |
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| building | INTELEK Repository |
| collection | Online Access |
| collectionurl | https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection8808 |
| copyright | Copyright©PWB2026 |
| country | Malaysia |
| date | 2024-10-23 |
| format | General Document |
| id | 17429 |
| institution | UniSZA |
| originalfilename | 17429_d02a7d027c04937.pdf |
| person | Muhammad Nasir Abdul Sattar |
| recordtype | oai_dc |
| resourceurl | https://intelek.unisza.edu.my/intelek/pages/view.php?ref=17429 |
| sourcemedia | Server storage Scanned document |
| spelling | 17429 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=17429 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection8808 General Document Malaysia Library Staff (Top Management) Library Staff (Management) Library Staff (Support) Terengganu Faculty of Informatics & Computing English application/pdf 1.7 Microsoft® Word for Microsoft 365 Server storage Scanned document Universiti Sultan Zainal Abidin UniSZA Private Access Universiti Sultan Zainal Abidin Non-Newtonian fluids Non-Newtonian Fluids Dissertations, Academic 457 Copyright©PWB2026 2024-10-23 Muhammad Nasir Abdul Sattar Nanofluids Buongiorno’s Nanofluid Model Homotopy Analysis Method (HAM) Rheological Effects Magnetohydrodynamics (MHD) Heat and Mass Transfer Stretching Surface Flow Brownian Motion and Thermophoresis Fluid dynamics—Mathematical models Rheology Heat transfer Mass transfer Magnetohydrodynamics Differential equations, Nonlinear Approximation methods Boundary layer flow 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) Non-Newtonian fluids have attracted significant interest due to growing applications in industrial, biotechnological, and mechanical engineering. Non-Newtonian fluids exhibit an astonishing range of rheological characteristics, including shear-thinning, shear-thickening, viscoplasticity, viscoelasticity, stress relaxation, and retardation times, among others. In modern nanofluid mechanics, non-Newtonian characteristics are an important consideration and more accurately simulate the behavior of these colloidal suspensions than conventional Newtonian fluids. Many researchers have developed various constitutive models to predict the rheological characteristics of non-Newtonian fluids. However, there is still a lack of studies that evaluate the characteristics of non-Newtonian fluids. The non-Newtonian fluids discussed in this study consist of Maxwell, tangent-hyperbolic, Williamson, second-grade, Oldroyd-B, and Casson fluids. The main objective of this thesis is to present the mathematical formulation of steady, two-dimensional, and incompressible flow of non-Newtonian fluids with Buongiorno’s nanoscale model, considering multiphysical rheological effects over a stretchable surface. A nonlinear mathematical model is developed using the appropriate conservation laws, and physically appropriate boundary conditions are employed to characterize the flow regimes. Then, the Navier–Stokes equations are modified with new multiphysical rheological effects such as thermophoresis, Brownian motion, Newtonian heating, chemical reaction, heat generation/absorption, radiative heat flux, porous medium, magnetohydrodynamics (MHD), and dual stratification. The primitive equations are simplified by employing suitable similarity transformations to generate nonlinear ordinary differential equations (ODEs). The obtained set of continuity, momentum, energy, and nanoparticle concentration equations are converted into ODEs using similarity transformations. Next, the transformed nonlinear systems of equations are solved analytically via the convergent homotopy analysis method (HAM) with the help of Mathematica software. The influence of rheological parameters on velocity, temperature, nanoparticle concentration, and skin friction is visualized graphically. The analytical results show that velocity is decelerated with an increment in the tangent-hyperbolic power-law index, material parameter (Weissenberg number), relaxation time, Hartmann number (magnetic parameter), porosity, inertia coefficient, and permeability parameters; however, the opposite trend is seen in the case of the material parameter (second grade), Deborah (viscoelastic) number, mixed convection, buoyancy ratio, and retardation time parameters. Temperatures are elevated with an increment in Brownian motion, heat absorption, radiative parameter, thermal Biot number, thermophoresis, conjugate heat transfer (Newtonian heating), and temperature ratio parameters, whereas they are decreased with increasing Prandtl number, thermal stratification, thermal relaxation, and heat generation parameters. Nanoparticle concentration values are suppressed with higher Brownian motion, solutal relaxation, Schmidt number, solutal stratification, and generative chemical reaction parameters, whereas they are accelerated with increasing values of concentration Biot number, thermophoresis, conjugate mass transfer, destructive chemical reaction, and solutal relaxation time parameters. The skin friction is improved with the Hartmann number (magnetic parameter), material parameter (Weissenberg number), inertia coefficient, and permeability parameters against the mixed convection parameter; however, it is reduced with the Deborah (viscoelastic) number, buoyancy ratio, and nonlinear (thermal, solutal) convection parameters. The present study establishes a novel contribution to non-Newtonian reactive nanofluid flow processing simulation. The simulation can be employed for the nano-polymeric coating of sensors, robotic components, and micromachines; therefore, these results are likely to enhance scientific advancement in the field of fluid mechanics. uuid:9FAB3480-B3C3-434C-9A0C-BBC44F294EA5 17429_d02a7d027c04937.pdf Thesis |
| spellingShingle | 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) |
| state | Terengganu |
| subject | Non-Newtonian fluids Dissertations, Academic Fluid dynamics—Mathematical models Rheology Heat transfer Mass transfer Magnetohydrodynamics Differential equations, Nonlinear Approximation methods Boundary layer flow |
| summary | Non-Newtonian fluids have attracted significant interest due to growing applications in industrial, biotechnological, and mechanical engineering. Non-Newtonian fluids exhibit an astonishing range of rheological characteristics, including shear-thinning, shear-thickening, viscoplasticity, viscoelasticity, stress relaxation, and retardation times, among others. In modern nanofluid mechanics, non-Newtonian characteristics are an important consideration and more accurately simulate the behavior of these colloidal suspensions than conventional Newtonian fluids. Many researchers have developed various constitutive models to predict the rheological characteristics of non-Newtonian fluids. However, there is still a lack of studies that evaluate the characteristics of non-Newtonian fluids. The non-Newtonian fluids discussed in this study consist of Maxwell, tangent-hyperbolic, Williamson, second-grade, Oldroyd-B, and Casson fluids. The main objective of this thesis is to present the mathematical formulation of steady, two-dimensional, and incompressible flow of non-Newtonian fluids with Buongiorno’s nanoscale model, considering multiphysical rheological effects over a stretchable surface. A nonlinear mathematical model is developed using the appropriate conservation laws, and physically appropriate boundary conditions are employed to characterize the flow regimes. Then, the Navier–Stokes equations are modified with new multiphysical rheological effects such as thermophoresis, Brownian motion, Newtonian heating, chemical reaction, heat generation/absorption, radiative heat flux, porous medium, magnetohydrodynamics (MHD), and dual stratification. The primitive equations are simplified by employing suitable similarity transformations to generate nonlinear ordinary differential equations (ODEs). The obtained set of continuity, momentum, energy, and nanoparticle concentration equations are converted into ODEs using similarity transformations. Next, the transformed nonlinear systems of equations are solved analytically via the convergent homotopy analysis method (HAM) with the help of Mathematica software. The influence of rheological parameters on velocity, temperature, nanoparticle concentration, and skin friction is visualized graphically. The analytical results show that velocity is decelerated with an increment in the tangent-hyperbolic power-law index, material parameter (Weissenberg number), relaxation time, Hartmann number (magnetic parameter), porosity, inertia coefficient, and permeability parameters; however, the opposite trend is seen in the case of the material parameter (second grade), Deborah (viscoelastic) number, mixed convection, buoyancy ratio, and retardation time parameters. Temperatures are elevated with an increment in Brownian motion, heat absorption, radiative parameter, thermal Biot number, thermophoresis, conjugate heat transfer (Newtonian heating), and temperature ratio parameters, whereas they are decreased with increasing Prandtl number, thermal stratification, thermal relaxation, and heat generation parameters. Nanoparticle concentration values are suppressed with higher Brownian motion, solutal relaxation, Schmidt number, solutal stratification, and generative chemical reaction parameters, whereas they are accelerated with increasing values of concentration Biot number, thermophoresis, conjugate mass transfer, destructive chemical reaction, and solutal relaxation time parameters. The skin friction is improved with the Hartmann number (magnetic parameter), material parameter (Weissenberg number), inertia coefficient, and permeability parameters against the mixed convection parameter; however, it is reduced with the Deborah (viscoelastic) number, buoyancy ratio, and nonlinear (thermal, solutal) convection parameters. The present study establishes a novel contribution to non-Newtonian reactive nanofluid flow processing simulation. The simulation can be employed for the nano-polymeric coating of sensors, robotic components, and micromachines; therefore, these results are likely to enhance scientific advancement in the field of fluid mechanics. |
| title | 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) |
| title_full | 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) |
| title_fullStr | 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) |
| title_full_unstemmed | 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) |
| title_short | 2024_Mathematical Modelling of Nonnewtonian Fluid Flowbased on Buongiorno’s Nanofluids Models Using Homotopy Analysis Method (HAM) |
| title_sort | 2024_mathematical modelling of nonnewtonian fluid flowbased on buongiorno’s nanofluids models using homotopy analysis method (ham) |