Related Papers
Journal of Applied Mathematics
Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids
Dr. Tadesse Walelign
In this paper, analytic approximation to the heat and mass transfer characteristics of a two-dimensional time-dependent flow of Williamson nanofluids over a permeable stretching sheet embedded in a porous medium has been presented by considering the effects of magnetic field, thermal radiation, and chemical reaction. The governing partial differential equations along with the boundary conditions were reduced to dimensionless forms by using suitable similarity transformation. The resulting system of ordinary differential equations with the corresponding boundary conditions was solved via the hom*otopy analysis method. The results of the study show that velocity, temperature, and concentration boundary layer thicknesses generally decrease as we move away from the surface of the stretching sheet and the Williamson parameter was found to retard the velocity but it enhances the temperature and concentration profiles near the surface. It was also found that increasing magnetic field streng...
International Journal of Numerical Methods for Heat & Fluid Flow
Investigation of nanoparticles shape effects on MHD nanofluid flow and heat transfer over a rotating stretching disk through porous medium
2020 •
umair rashid
Purpose In this article, we consider the magnetohydrodynamic (MHD) nanofluid flow over a rotating stretchable disk through porous medium. For porous medium, Darcy’s relation is used. It also encompassed the impact of nanoparticles shape on MHD nanofluid flow and heat transfer. The effect of thermal radiation and Joule heating is also being considered. Design/methodology/approach Three categories of nanoparticles are taken into deliberation, i.e. copper, silver and titanium oxide. The nanofluid is made of pure water and various types of sphere- and lamina-shaped nanoparticles. By using appropriate similarity transformation, the governing partial differential equations are transformed to ordinary one. The coupled ordinary differential equations system is tackled numerically by bvp4c method. Findings The impact of various pertinent parameters, i.e. solid volume fraction, Hartman number, thermal radiations parameter, Reynolds number, Eckert number, porosity parameter and ratio parameter...
Computer Modeling in Engineering & Sciences
Thermal Analysis of MHD Non-Newtonian Nanofluids over a Porous Media
Muhammad Shoaib Arif
Flow and heat transfer in non-Newtonian nanofluids over porous surfaces
Mohammad Reza Safaei
In the present study, heat transfer and fluid flow of a pseudo-plastic non-Newtonian nanofluid over permeable surface has been solved in presence of injection and suction. Similarity solution method is utilized to convert the governing partial differential equations into ordinary differential equations, which then is solved numerically using Runge–Kutta–Fehlberg fourth–fifth order (RKF45) method. The Cu, CuO, TiO 2 and Al 2 O 3 nanoparticles are considered in this study along with sodium carboxymethyl cellulose (CMC)/water as base fluid. Validation has been done with former numerical results. The influence of power-law index, volume fraction of nanoparticles, nanoparticles type, and permeability parameter on nanofluid flow and heat transfer was investigated. The results of the study illustrated that the flow and heat transfer of non-Newtonian nanofluid in presence of suction and injection has different behaviors. For injection and the
Frontiers in Heat and Mass Transfer
MHD Unsteady Flow of a Williamson Nanofluid in a Vertical Porous Space with Oscillating Wall Temperature
2016 •
Lourdu Immaculate
Journal of Applied Fluid Mechanics
Steady MHD Flow of Nano-Fluids over a Rotating Porous Disk in the Presence of Heat Generation/Absorption: a Numerical Study using PSO
Ziya Uddin
Science Direct
Numerical investigation of laminar flow and heat transfer of non-Newtonian nanofluid within a porous medium
2018 •
Dr. Davood Toghraie
In this study, comprehensive study of laminar flow and heat transfer of pseudo-plastic non-Newtonian nanofluid (Al 2 O 3 + CMC) within the porous circular concentric region is presented. The effect of volume fraction of nanoparticles, Reynolds number, Darcy number, thickness ratio is studied. Simulations for different Reynolds numbers and Darcy numbers in the range of 100≤Re ≤300 and 10 −4 ≤Da≤10 −2 are done. The results show that the effect of the porous layer on increasing the convective heat transfer coefficient is larger than the Reynolds number, since, at a given volume fraction, the porous medium plays a greater role in increasing the heat transfer compared to the increasing Reynolds number. Also, at a given volume fraction and for a fixed porosity, decreases in the permeability leads to increased Darcy velocity and, consequently, velocity profile. As the thickness of the porous layer increases at fixed values of permeability and porosity, the velocity of the nanofluid is also increased in a constant Reynolds number, by increasing the thickness of the porous media, heat transfer coefficient increases. In addition, at a specified thickness and constant Reynolds number, by increasing the Darcy number, the heat transfer coefficient and the Nusselt number increases. Moreover, as the thickness of the porous layer increases at fixed values of permeability and porosity, the velocity of the nanofluid is also increased; this consequently maximizes the pressure drop.
International Journal of Applied and Computational Mathematics
Effect of Prescribed Heat Sources on Convective Unsteady MHD Flow of Williamson Nanofluid Through Porous Media: Darcy–Forchheimer Model
2022 •
Archie Thakur
An unsteady two-dimensional mixed convection stagnation point flow induced past a surface stretching linearly embedded in a porous medium is examined numerically in this study, utilizing the Darcy–Forchheimer model. The medium is supposed to be jammed with an incompressible non-Newtonian Williamson nanofluid. The flow is examined for two different heat transfer mechanisms namely, PST and PHF, in the presence of a time-dependent magnetic field using the Buongiorno nanofluid model. The relevant governing PDEs such as continuity, momentum, energy, and concentration equations are first converted into non-linear ODEs, utilizing similarity transformations, and then solved using bvp4c solver in MATLAB. The results have been displayed in the form of figures and tables for both heat transfer mechanisms, PST and PHF. The purpose of this work is to examine the combined effects of unsteadiness, mixed convection, and magnetic field using the Darcy–Forchheimer model on the flow of non-Newtonian Williamson nanofluid near the stagnation-point region past a linearly stretching sheet for two different cases of heat transfer namely, PST and PHF. Our study concludes that escalating unsteadiness, thermal convection, and velocity ratio correspond to a rise in the local Nusselt number which corresponds to a better rate of heat transfer. Conductive heat transfer dominates for increasing permeability of the medium in both PST and PHF heat transfer mechanisms. These findings are useful for enhancing the rate of cooling of the sheet during extrusion of polymer sheets, emulsion coated sheets, plastic film drawing, glass fiber production, etc.
ZAMM - Journal of Applied Mathematics and Mechanics
Mixed convective Williamson nanofluid flow over a rotating disk with zero mass flux
2022 •
Fateh Mebarek-Oudina, Hanumesh Vaidya
This analysis concentrates on mixed convective unsteady two-dimensional, viscous hydro-magnetic Williamson nanofluid flow with heat, and mass transport toward a stretchable rotating disk with suction/injection and joule heating. In addition, convective and zero mass flux conditions are implemented at the boundary to study the flow characteristics. The converted coupled nonlinear ordinary differential equations (ODEs) are tackled utilizing a semi-analytical technique known as Optimal hom*otopy Analysis Method (OHAM). The obtained outcomes are illustrated graphically to anticipate the features of the governing terms affecting the flow model. The surface skin friction, heat, and mass transport rates are deduced and discussed in detail. The validation of the present article is verified and converges to earlier published statistics. Interestingly, analysis reveals that suction/injection parameter on axial and radial velocity profiles are quite the opposite and is identical in the case of thermal and concentration buoyancy parameter. Furthermore, the Weissenberg number dominates the flow movement; the unsteady parameter lessens the momentum and thermal boundary layer (BL) thickness.
Applied Nanoscience
Flow and heat transfer analysis of Williamson nanofluid
2013 •
sohail nadeem
