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.

Effect of an Inclined Magnetic Field on the Flow of Nanofluids in a Tapered Asymmetric Porous Channel with Heat Source/Sink and Chemical Reaction

2017 ◽  
Vol 1 (2) ◽  
pp. 104 ◽  
Author(s):  
Ajaz Ahmad Dar
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Chemical Reaction ◽  
Wave Length ◽  
Porous Channel ◽  
Inclined Magnetic Field ◽  
Electrically Conducting ◽  
Flow Parameters ◽  
Channel Effect ◽  
Source Sink

<p><em>This article deals with the effect of an inclined magnetic field with heat source/sink on the flow of nanofluids in a tapered asymmetric porous channel. Effect of chemical reaction has been taken into account. The blood is considered as an incompressible electrically conducting viscous fluid. The assumption of low Reynolds number and long wave length approximations has been adopted. Exact solutions for dimensionless axial velocity, concentration and temperature profile are obtained analytically. The obtained results are displayed and discussed in detail with the help of graphs for the variation of different emerging flow parameters.</em></p>

Energy transport in axisymmetric flow on a rotating cylinder with heat source/sink and chemical reaction

2021 ◽  
pp. 095440892110501
Author(s):  
Masood Khan ◽  
Mahnoor Sarfraz ◽  
Awais Ahmed ◽  
Jawad Ahmed ◽  
Muhammad Yousaf Malik ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Differential Equations ◽  
Heat Source ◽  
Chemical Reaction ◽  
Axisymmetric Flow ◽  
Wall Jet ◽  
Axial Pressure Gradient ◽  
Source Sink ◽  
The Magnetic Field

In this article, a thermal analysis is conducted for the axisymmetric flow of viscous nanofluid induced by torsional motion of cylinder. Here the rotation of the cylinder is axially dependent. The impression of heat source/sink with chemical reaction is perceived on the thermal and concentration boundary layer, while the consequence of magnetic field is observed on the fluid flow. In addition, we utilized a two-phased model for nanofluids, namely Buongiorno's model to compute the outcomes of the Soret effect and Brownian diffusion. The non-dimensional ordinary differential equations (ODEs) are obtained by employing the similarity transformation into governing partial differential equations (PDEs). We employed a built-in function, viz. bvp5c, a finite difference method in Matlab®, to solve the BVPs. The acquired results showed that the axial component of the velocity field occurred as a wall jet phenomenon, which is due to an axial pressure gradient. The axial flow and energy of the system are lessened; however, the peak of the wall jet is amplified for higher values of Reynolds number, but the converse trend is observed in the case of the magnetic parameter. The influence of pertinent parameters is also scrutinized for the wall-shear stress, local Nusselt, and Sherwood number for a selected range of Reynolds number, i.e., [Formula: see text] Furthermore, the consequences of the magnetic field have been succinctly observed on the flow, temperature, and concentration profiles. It is concluded that the magnetic field creates a resisting force that causes a reduction in the velocity fields, while temperature profile is enhanced because of the thermal conductivity of nanofluid. The impression of heat source/sink elevated the energy of system, whereas chemical reaction reduced the concentration field.

Inclined magnetic field effects on unsteady nanofluid flow and heat transfer in a finite thin film with non-uniform heat source/sink

2019 ◽  
Vol 15 (1) ◽  
pp. 265-282 ◽  
Author(s):  
Shib Sankar Giri ◽  
Kalidas Das ◽  
Prabir Kumar Kundu
Keyword(s):  
Magnetic Field ◽  
Thin Film ◽  
Heat Source ◽  
Inclined Magnetic Field ◽  
Magnetic Field Effects ◽  
Thin Film Flow ◽  
Specific Flow ◽  
Content Type ◽  
Uniform Heat ◽  
Source Sink

PurposeThe purpose of this paper is to discuss the flow and heat transference of unsteady nanofluid thin film flow due to linear stretching velocity over a horizontally placed stretching sheet in corporation of aligned magnetic field and non-uniform heat source/sink.Design/methodology/approachLeading equations of the course have been normalized via similarity approach and unraveled the resulting non-linear equations numerically by consuming RK-4 shooting practice to execute flow analysis.FindingsA close agreement of two sets (for two different base fluids – polyvinyl alcohol and water) of result is perceived. The authors find that inclined magnetic field and nanoparticles concentration curbed velocity distribution which, in turn, causes enrichment of system of temperature distribution.Originality/valueThe paper acquires realistic numerical explanations in form of rapidly convergent series. The influence of emergent flow parameters on specific flow are made appropriately via graphs and charts. An unbiased result scrutiny of the existing section with formerly conveyed result is provided.

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.

scholarly journals Effect of Heat Source/Sink on Free Connective MHD Flow past an Exponentially Accelerated Infinite Plate with Mass Diffusion and Chemical Reaction

2019 ◽  
Vol 8 (9S) ◽  
pp. 696-702
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Chemical Reaction ◽  
Error Function ◽  
Infinite Plate ◽  
Mhd Flow ◽  
Mass Diffusion ◽  
Grashof Number ◽  
Flow Past ◽  
Source Sink

The effects of heat source/sink and chemical reaction with mass diffusion on free convective incompressible viscous fluid flow past an accelerated vertical plate with magnetic field has been investigated. Laplace transformation method has been applied to solve the system of linear partial differential equations. The result is presented in form of complementary error function and exponential function. The effect of non dimensional parameters such as Schmidt number (Sc), Accelerated parameter (a), Chemical reaction parameter (K), Prandtl number (Pr), Magnetic field parameter (M), Mass Grashof number (Gm), Heat source/sink parameter (H), Thermal Grashof number (Gr) on temperature, concentration, velocity has been discussed with graphs.

Unsteady MHD Free Convection Flow of a Kuvshinski Fluid Past a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Source/Sink

2015 ◽  
Vol 14 ◽  
pp. 13-27 ◽  
Author(s):  
S. Harinath Reddy ◽  
M.C. Raju ◽  
E. Keshava Reddy
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Free Convection ◽  
Chemical Reaction ◽  
Porous Plate ◽  
Radiation Absorption ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Vertical Porous Plate ◽  
Source Sink

Unsteady magneto hydrodynamic (MHD) free convection flow of a viscous, incompressible and electrically conducting, well known non-Newtonian fluid named as Kuvshinski fluid past an infinite vertical porous plate in the presence of homogeneous chemical reaction, radiation absorption and heat source/sink is studied analytically. The plate is assumed to move with a constant velocity in the direction of fluid flow. A magnetic field of uniform strength is applied perpendicular to the plate, which absorbs the fluid with a suction that varies with time. The dimensionless governing equations are solved analytically using two terms harmonic and non-harmonic functions. The expressions for the fields of velocity, temperature and concentration are obtained. With the aid of these the expressions for skin friction, Nusselt number and Sherwood number are derived. The effects of various physical parameters on the flow quantities are studied through graphs and tables. For the validity, we have checked our results with previously published work and found in good agreement. Velocity decreases for an increase in visco elastic parameter α2, heat absorption coefficient φ, the chemical reaction parameter γ , the magnetic field parameter M, the Prandtl number Pr, the Schmidt number Sc, and increases for increase in Grashof number Gm, the radiation absorption parameter Q1

Effect of radiation on thermosolutal Marangoni convection in a porous medium with chemical reaction and heat source/sink

2020 ◽  
Vol 32 (11) ◽  
pp. 113602
Author(s):  
U. S. Mahabaleshwar ◽  
K. R. Nagaraju ◽  
P. N. Vinay Kumar ◽  
Martin Ndi Azese
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Chemical Reaction ◽  
Marangoni Convection ◽  
Source Sink

scholarly journals Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
I. Swain ◽  
S. R. Mishra ◽  
H. B. Pattanayak
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Mass Transfer Effect ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching ◽  
Source Sink

An attempt has been made to study the heat and mass transfer effect in a boundary layer MHD flow of an electrically conducting viscous fluid subject to transverse magnetic field on an exponentially stretching sheet through porous medium. The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for nondimensional velocity, temperature, and concentration profiles while numerical values of the skin friction local Nusselt number and Sherwood number are presented in tabular form for various values of parameters controlling the flow system.

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