Flow and heat transfer of couple stress fluid in a vertical channel in the presence of heat source/sink

2017 ◽  
Vol 27 (4) ◽  
pp. 795-819 ◽  
Author(s):  
Jawali Umavathi ◽  
Jada Prathap Kumar ◽  
Ioan Pop ◽  
Murudappa Shekar
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Heat Generation ◽  
Couple Stress ◽  
Vertical Channel ◽  
Brinkman Number ◽  
Governing Equations ◽  
Content Type ◽  
Source Sink ◽  
Convection Parameter

Purpose The purpose of this paper is to consider the problem of fully developed laminar mixed convection flow of a couple stress fluid in a vertical channel with the third-kind boundary conditions in the presence or absence of heat source/sink effect. Design/methodology/approach Through proper choice of dimensionless variables, the governing equations are developed. These governing equations are solved analytically by the differential transform method and numerically by the Runge–Kutta shooting method. Analytical solutions for the velocity and temperature profiles for heat generation and absorption of the problem are reported. Findings The mass flow rate and Nusselt numbers at both the left and right channel walls on mixed convection parameter, Brinkman number, couple stress parameter and heat generation/absorption parameter for equal and unequal Biot numbers are presented. Favorable comparisons of special cases with previously published work are obtained. It is found that velocity, temperature, mass flow rate and Nusselt number decrease with couple stress parameter and increase with mixed convection parameter and Brinkman number. Originality/value The work done in this paper is not done earlier to the authors’ knowledge. This is the first paper in which the sixth-order differential equation is solved using the semi-numerical method, which is a differential method.

Effects of MHD mixed convection with non-uniform heat source/sink and cross-diffusion over exponentially stretching sheet

2018 ◽  
Vol 28 (6) ◽  
pp. 1238-1255 ◽  
Author(s):  
Prabhugouda Mallanagouda Patil ◽  
Nafisabanu Kumbarwadi ◽  
Shashikant A.
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Research Work ◽  
Convection Flow ◽  
Convection Boundary Layer ◽  
Content Type ◽  
Cross Diffusion ◽  
Uniform Heat ◽  
Exponentially Stretching ◽  
Source Sink

Purpose The purpose of this paper is to investigate the magnetohydrodynamics mixed convection flow over an exponentially stretching surface in the presence of non-uniform heat source/sink and cross-diffusion. Adequate non-similar transformations are used to transform governing mixed convection boundary layer equations to dimensionless form. Design/methodology/approach These dimensionless partial differential equations are solved by using implicit finite difference scheme in conjunction with Quasi-linearization technique. Findings The effects of admissible parameters such as Eckert number (Ec), the ratio of buoyancy forces parameter (N), non-uniform heat source/sink, Soret and Dufour numbers on flow, temperature and concentration distributions are discussed and analysed through graphs. In addition, the results for skin friction coefficient, Sherwood number and Nusselt number are presented and discussed graphically. Originality/value In literature, no research work has been found in similar to this research paper.

Mixed convection flow of viscoelastic nanofluid by a cylinder with variable thermal conductivity and heat source/sink

2016 ◽  
Vol 26 (1) ◽  
pp. 214-234 ◽  
Author(s):  
T. Hayat ◽  
M. Waqas ◽  
Sabir Ali Shehzad ◽  
A. Alsaedi
Keyword(s):  
Thermal Conductivity ◽  
Heat Source ◽  
Mixed Convection ◽  
Variable Thermal Conductivity ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Viscoelastic Parameter ◽  
Content Type ◽  
Viscoelastic Nanofluid ◽  
Source Sink

Purpose – The purpose of this paper is to examine the effects of variable thermal conductivity in mixed convection flow of viscoelastic nanofluid due to a stretching cylinder with heat source/sink. Design/methodology/approach – The authors have computed the existence of the solution for Walter’s B and second grade fluids corresponding to Pr=0.5 and Pr=1.5. Skin-friction coefficient, local Nusselt and Sherwood numbers are computed numerically for different values of emerging parameters. Findings – A comparative study with the existing solutions in a limiting sense is made and analyzed. The authors found that the dimensionless velocity filed and momentum boundary layer thickness are increased when the values of viscoelastic parameter increase. The present non-Newtonian fluid flow reduces to the viscous flow in the absence of viscoelastic parameter. The larger values of viscoelastic parameter corresponds to the higher values of local Nusselt and Sherwood numbers. Originality/value – No such analysis exists in the literature yet.

Second law analysis on Hall effect of natural convection flow through vertical channel in the presence of uniform heat source/sink

2020 ◽  
Vol 30 (10) ◽  
pp. 4403-4423
Author(s):  
A. Roja ◽  
B.J. Gireesha
Keyword(s):  
Heat Flux ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Radiative Heat ◽  
Vertical Channel ◽  
Radiative Heat Flux ◽  
Content Type ◽  
Uniform Heat ◽  
Source Sink

Purpose Microfluidics is one of the extensive elaborated technologies in thermal and engineering fields due to its wide range of applications, such as micro heat exchangers, micro mixture and microchannel heat sinks, which is used to develop a large number of microscopic devices and systems. Enhancement of thermal energy using verity of nanoliquids is one of the challenges in these applications of microfluidics. Therefore, using single wall carbon nanotubes for enhancement of thermal energy in microchannel is the main purpose of this study. Hall effect of natural convection flow in a vertical channel with slip and temperature jump condition is considered. The impacts of radiative heat flux, uniform heat source/sink, viscous dissipation and joule heating are also taken into account. Design/methodology/approach Suitable non-dimension variables are applied to the governing equations to reduce the system into ordinary differential equations. The reduced nonlinear system is then solved numerically using Runge–Kutta–Fehlberg fourth–fifth-order method along with shooting technique. The impact of different pertinent parameters on numerical solutions of primary velocity, secondary velocity, temperature, entropy generation and Bejan number is comprehensively discussed in detail. Also, the obtained numerical results are compared with existing one which perfectly found to be in good agreement. Findings It is established that, with the aspects of Joule heating, viscous dissipation, radiative heat flux and uniform heat source/sink, the production in the entropy can be improved. Further, it is found that the increasing ratio of wall ambient temperature difference and nanoparticle volume fraction leads to enhance the entropy generation. The same effect reverses with increasing values of fluid wall interaction parameter (FWIP) and rare faction. The irreversibility ratio enhances with larger values of nanoparticle volume fraction and decelerates with increment values of FWIP. Originality/value The impact of single wall carbon nanoliquid in a vertical channel flow by using radiative heat flux, heat source/sink, joule heating and viscous dissipation is first time investigated. Further, the influence of Hall current is explored in detail.

scholarly journals The Effect of MHD and Brinkman Number on Laminar Mixed Convection of Newtonian Fluid Between Vertical Parallel Plates Channel

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Mixed Convection ◽  
Newtonian Fluid ◽  
Vertical Channel ◽  
Convection Flow ◽  
Parallel Plates ◽  
Brinkman Number ◽  
Governing Equations ◽  
Material Parameters ◽  
Laminar Mixed Convection ◽  
Developing Flow

This study investigates MHD and Brinkman number on mixed convection flow in a two parallel-plates vertical channel with reference to laminar, thermal and hydrodynamical developing flow of Newtonian fluid. The boundaries are considered to be isothermal with equal temperatures. The governing equations are solved numerically. Also, their dependence upon certain material parameters have been studied. Velocity, temperature, pressure gradient and Nusselt number profiles have also been presented.

scholarly journals MHD mixed convection of localized heat source/sink in an Al2O3-Cu/water hybrid nanofluid in L-shaped cavity

2021 ◽  
Vol 60 (3) ◽  
pp. 2947-2962
Author(s):  
T. Armaghani ◽  
M.S. Sadeghi ◽  
A.M. Rashad ◽  
M.A. Mansour ◽  
Ali J. Chamkha ◽  
...  
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Hybrid Nanofluid ◽  
Source Sink

Effects of moving lid direction on mixed convection and entropy generation in a cubical cavity with longitudinal triangular fin insertion

2017 ◽  
Vol 27 (4) ◽  
pp. 839-860 ◽  
Author(s):  
Lioua Kolsi ◽  
Hakan F. Öztop ◽  
Nidal Abu-Hamdeh ◽  
Borjini Mohamad Naceur ◽  
Habib Ben Assia
Keyword(s):  
Mixed Convection ◽  
Entropy Generation ◽  
Three Dimensional ◽  
Thermal Conductivity Ratio ◽  
Governing Equations ◽  
Content Type ◽  
Driven Cavity ◽  
Triangular Fin ◽  
Cubical Cavity ◽  
3D Problem

Purpose The main purpose of this work is to arrive at a three-dimensional (3D) numerical solution on mixed convection in a cubic cavity with a longitudinally located triangular fin in different sides. Design/methodology/approach The 3D governing equations are solved via finite volume technique by writing a code in FORTRAN platform. The governing parameters are chosen as Richardson number, 0.01 ≤ Ri ≤ 10 and thermal conductivity ratio 0.01 ≤ Rc ≤ 100 for fixed parameters of Pr = 0.7 and Re = 100. Two cases are considered for a lid-driven wall from left to right (V+) and right to left (V−). Findings It is observed that entropy generation due to heat transfer becomes dominant onto entropy generation because of fluid friction. The most important parameter is the direction of the moving lid, and lower values are obtained when the lid moves from right to left. Originality The main originality of this work is to arrive at a solution of a 3D problem of mixed convection and entropy generation for lid-driven cavity with conductive triangular fin attachments.

Theoretical analysis of entropy generation in second grade nanofluid considering heat source/sink over a rotating disk

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Muhammad Faisal Javed ◽  
Mohammed Jameel ◽  
Muhammad Ijaz Khan ◽  
Sumaira Qayyum ◽  
Niaz B. Khan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Chemical Reaction ◽  
Nonlinear Partial Differential Equations ◽  
Rotating Disk ◽  
Second Grade ◽  
Surface Drag ◽  
Viscoelastic Parameter ◽  
Content Type ◽  
Source Sink

Purpose This study aims to focus on second grade fluid flow over a rotating disk in the presence of chemical reaction. Uniform magnetic field is also taken into account. Because of the smaller magnetic Reynolds number, induced magnetic field is negligible. Heat equation is constructed by considering heat source/sink. Design/methodology/approach Suitable variables are used to transform nonlinear partial differential equations to ordinary ones. Convergent series solutions are attained by applying homotopy analysis method. Findings Trends of different parameters on concentration, velocity and temperature are shown graphically. Skin friction coefficient and local Nusselt number are calculated and investigated under the effect of elaborated parameters. An elevation in the value of magnetic field parameter causes collapse in the velocity distributions. Velocity distribution in increasing function of viscoelastic parameter. Temperature and concentration profiles are decreasing functions of viscoelastic parameter. Concentration distribution reduces by increasing the chemical reaction parameter. There is more surface drag force for larger M, while opposite behavior is noted for β. Originality/value To the best of the authors’ knowledge, such consideration is yet to be published in the literature.

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