scholarly journals Mathematical analysis of the flow and heat transfer of Ag-Cu hybrid nanofluid over a stretching/shrinking surface with convective boundary condition and viscous dissipation

2020 ◽  
Vol 1 (01) ◽  
pp. 11-22
Author(s):  
R. Jusoh ◽  
K. Naganthran ◽  
A. Jamaludin ◽  
M.H. Ariff ◽  
M.F.M. Basir ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Biot Number ◽  
Convective Boundary Condition ◽  
Hybrid Nanofluid ◽  
Convective Boundary ◽  
Nanoparticles Concentration ◽  
The Impact

Hybrid nanofluid has a vast potential of applications in the cooling system due to the high thermal conductivity. This study emphasizes on the impact of the convective boundary condition and viscous dissipation to the heat transfer of Ag-Cu hybrid nanofluid. A suitable similarity transformation is used to transform the partial differential equations of mass, momentum and energy into the ordinary differential equations. A finite difference code known as bvp4c in Matlab is employed to generate the numerical solutions. Stability analysis is conducted since dual solutions are generated in this study and the first solution exhibits the stability properties. The influence of variations in the suction parameter, viscous dissipation, nanoparticles concentration and Biot number on the on the temperature and velocity profiles of the hybrid nanofluid are portrayed. The rate of heat transfer is prominently higher with the augmentation of the Biot number and Ag nanoparticles concentration.

INFLUENCE OF HEAT TRANSFER ON THE MHD STAGNATION POINT FLOW OF A POWER LAW FLUID WITH CONVECTIVE BOUNDARY CONDITION

2015 ◽  
Vol 77 (20) ◽  
Author(s):  
Shah Jahan ◽  
Hamzah Sakidin
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Differential Equations ◽  
Stagnation Point ◽  
Power Law ◽  
Convective Boundary Condition ◽  
Stagnation Point Flow ◽  
Power Law Fluid ◽  
Convective Boundary ◽  
The Impact

In this article, we examined the impact of heat transfer on the magnetohydrodynamic (MHD) stagnation point flow of a non-Newtonian power- law fluid with convective boundary condition. By using suitable similarity transformations, coupled nonlinear partial differential equations are transformed to ordinary differential equations. Then solved the resulting equations with Homotopy analysis method.  Interesting flow parameters such as MHD , stagnation parameter  convective parameter  are discussed graphically. Convergence is checked at 20th order of approximation. Numerical values of physical interested parameter such as local Nusselt number are also tabulated.

scholarly journals Hydrodynamic and heat transfer analysis of dissimilar shaped nanoparticles-based hybrid nanofluids in a rotating frame with convective boundary condition

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Muhammad Ramzan ◽  
Nazia Shahmir ◽  
Hassan Ali S. Ghazwani ◽  
Kottakkaran Sooppy Nisar ◽  
Faizah M. Alharbi ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Base Fluid ◽  
Spherical Shape ◽  
Convective Boundary Condition ◽  
Heat Transfer Analysis ◽  
Hybrid Nanofluid ◽  
Convective Boundary ◽  
Hybrid Nanofluids ◽  
Low Efficiency

AbstractSolar thermal systems have low efficiency due to the working fluid's weak thermophysical characteristics. Thermo-physical characteristics of base fluid depend on particle concentration, diameter, and shapes. To assess a nanofluid's thermal performance in a solar collector, it is important to first understand the thermophysical changes that occur when nanoparticles are introduced to the base fluid. The aim of this study is, therefore, to analyze the hydrodynamic and heat characteristics of two different water-based hybrid nanofluids (used as a solar energy absorber) with varied particle shapes in a porous medium. As the heat transfer surface is exposed to the surrounding environment, the convective boundary condition is employed. Additionally, the flow of nanoliquid between two plates (in parallel) is observed influenced by velocity slip, non-uniform heat source-sink, linear thermal radiation. To make two targeted hybrid nanofluids, graphene is added as a cylindrical particle to water to make a nanofluid, and then silver is added as a platelet particle to the graphene/water nanofluid. For the second hybrid nanofluid, CuO spherical shape particles are introduced to the graphene/water nanofluid. The entropy of the system is also assessed. The Tiwari-Das nanofluid model is used. The translated mathematical formulations are then solved numerically. The physical and graphical behavior of significant parameters is studied.

Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach

2017 ◽  
Vol 18 (5) ◽  
pp. 327-342
Author(s):  
Chetteti RamReddy ◽  
Teegala Pradeepa
Keyword(s):  
Boundary Condition ◽  
Differential Equations ◽  
Mixed Convection ◽  
Viscous Dissipation ◽  
Micropolar Fluid ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Quasilinearization Method ◽  
Convective Boundary ◽  
Truncated Cone

AbstractThis article emphasizes the influence of convective boundary condition on mixed convection flow of a micropolar fluid over a truncated cone with Soret and viscous dissipation effects. The governing micropolar fluid flow equations are non-dimensionalized using suitable non-similarity transformations. Several authors have applied the spectral quasilinearization method to solve the ordinary differential equations, but here the resulting nonlinear partial differential equations are solved for non-similarity solution by using a newly developed method called the spectral quasilinearization method (SQLM). The comparison of convection process namely free, forced and mixed convection on the micropolar fluid is provided in detail. The convergence and error analysis are also discussed to test the accuracy of the spectral method. From the results, it perceived that with the rise in viscous dissipation parameter, the wall couple stress coefficient and Nusselt number reduce, but velocity, temperature, concentration, skin friction coefficient and Sherwood number increase for both in the absence and in the presence of Soret number.

MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition

2019 ◽  
Vol 29 (9) ◽  
pp. 3012-3038 ◽  
Author(s):  
Emad H. Aly ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Numerical Solutions ◽  
Mhd Flow ◽  
Convective Boundary Condition ◽  
Shrinking Sheet ◽  
Hybrid Nanofluid ◽  
Convective Boundary ◽  
Content Type ◽  
Flow And Heat Transfer

Purpose The purpose of this study is to present both effective analytic and numerical solutions to MHD flow and heat transfer past a permeable stretching/shrinking sheet in a hybrid nanofluid with suction/injection and convective boundary conditions. Water (base fluid) nanoparticles of alumina and copper were considered as a hybrid nanofluid. Design/methodology/approach Proper-similarity variables were applied to transform the system of partial differential equations into a system of ordinary (similarity) differential equations. Exact analytical solutions were then presented for the dimensionless stream and temperature functions. Further, the authors introduce a very nice analytic and numerical solutions for both small and large values of the magnetic parameter. Findings It was found that no/unique/two equal/dual physical solutions exist for the investigated boundary value problem. The physically realizable practice of these solutions depends on the range of the governing parameters. For a stretching/shrinking sheet, it was deduced that a hybrid nanofluid works as a cooler on increasing some of the investigated parameters. Moreover, in the case of a shrinking sheet, the first solutions of hybrid nanofluid are stable and physically realizable rather than the nanofluid, while those of the second solutions are not for both hybrid nanofluid and nanofluid. Originality/value The present results for the hybrid nanofluids are new and original, as they successfully extend (generalize) the problems previously considered by different authors for the case of nanofluids.

scholarly journals Flow and Heat Transfer of MHD Dusty Nanofluid Toward Moving Plate with Convective Boundary Condition

2021 ◽  
Vol 89 (2) ◽  
pp. 43-55
Author(s):  
Euwing Low ◽  
Syahira Mansur ◽  
Yaan Yee Choy ◽  
Eugene Low
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Differential Equations ◽  
Volume Fraction ◽  
Particle Interaction ◽  
Convective Boundary Condition ◽  
Moving Plate ◽  
Convective Boundary ◽  
Linear Ordinary Differential Equations ◽  
Flow And Heat Transfer

This paper considers the flow and heat transfer characteristics of dusty nanofluid over a moving plate in the presence of magnetohydrodynamic (MHD) with convective boundary condition. Two types of nanofluid namely CuO-water and Al2O3-water permeated with dust particles are considered. The governing partial differential equations are converted into a system of non-linear ordinary differential equations using similarity transformation, then the non-linear ordinary differential equations are solved using shooting method with fourth-fifth order Runge-Kutta Fehlberg method (RKF45). The influence of non-dimensional governing parameters such as velocity ratio parameter, magnetic field parameter, volume fraction of the nanoparticle, volume fraction of the dust particle, mass concentration of the dust particle, fluid particle interaction parameter for velocity, fluid particle interaction parameter for temperature and Biot number on the velocity and temperature profiles for fluid and dust phases of CuO-water and Al2O3-water dusty nanofluids are discussed and presented through graphs. The skin friction coefficient and Nusselt number are discussed and presented in tabular form.

scholarly journals Analysis of heat transfer of hydromagnetic flow over a curved generalized stretching or shrinking surface with convective boundary condition

2019 ◽  
Vol 23 (6 Part B) ◽  
pp. 3775-3783
Author(s):  
Muhammad Naveed ◽  
Zaheer Abbas ◽  
Zia Zaigham ◽  
Muhammad Sajid
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Mathematical Formulation ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Dual Nature ◽  
Convective Parameter ◽  
Linear Differential ◽  
Shrinking Surface ◽  
The Impact

An investigation is carried out to discuss the heat transfer mechanism to an electrically conducting viscous fluid on a curved stretching/shrinking surface incorporated with convective boundary condition. The impact of uniform magnetic field is also considered. The mathematical formulation for the transport of heat and flow phenomena is developed by utilizing a curvilinear co-ordinates system. The obtained sets of PDE are reconstructed into coupled non-linear differential equations by incorporating similarity transformations. The numerical solution is attained by employing the shooting method. The obtained solutions are then used to discuss the impacts of various emerging parameters on the temperature and heat transfer across the surface. Dual nature of the solutions are obtained for definite range of convective, suction, magnetic, Prandtl number and stretching or shrinking parameters. Comparison of the obtained results with the existing results for a flat sheet is found in acceptable agreement. It is noticed that with an increment in convective parameter increases the temperature of the fluid, while an increase in suction and magnetic parameters decreases the temperature of the fluid for both the solutions.

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