scholarly journals MHD Mixed Convection Nanofluid Flow over Convectively Heated Nonlinear due to an Extending Surface with Soret Effect

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Jamel Bouslimi ◽  
M. A. Abdelhafez ◽  
A. M. Abd-Alla ◽  
S. M. Abo-Dahab ◽  
K. H. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Mixed Convection ◽  
Physical Meaning ◽  
Soret Effect ◽  
Concentration Profiles ◽  
Nanofluid Flow ◽  
Thermal Buoyancy ◽  
Buoyancy Parameter ◽  
Fifth Order

The aim of this paper is to investigate the flow of MHD mixed convection nanofluid flow under nonlinear heated due to an extending surface. The transfer of heat in nanofluid subject to a magnetic field and boundary conditions of convective is studied to obtain the physical meaning of the convection phenomenon. The governing partial differential equations (PDEs) of the boundary layer are reduced to ordinary differential equations (ODEs) considering a technique of the transformation of similarity. The transformed equations are solved numerically considering the technique of an efficient numerical shooting applying the Runge–Kutta technique scheme from the fourth-fifth order. The results corresponding to the dimensionless speed, temperature, concentration profiles, and the Nusselt number reduced, and the Sherwood numbers are presented by figures to display the physical meaning of the phenomena. A comparison has been made between the obtained results with the previous results obtained by others and agrees with them if the new parameters vanish. The results obtained indicate the impacts of the nondimensional governing parameters, namely, magnetic field parameter M, Soret number Sr, heat source λ, thermal buoyancy parameter λ T , and solutal buoyancy parameter λ C on the flow, temperature, and concentration profiles being discussed and presented graphically.

scholarly journals MHD Mixed Convection Micropolar Fluid Flow through a Rectangular Duct

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Mekonnen Shiferaw Ayano ◽  
Stephen T. Sikwila ◽  
Stanford Shateyi
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Mixed Convection ◽  
Applied Magnetic Field ◽  
Flow Reversal ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Rectangular Duct ◽  
Micropolar Fluid Flow ◽  
Flow Through

Mixed convection flow through a rectangular duct with at least one of the sides of the walls of the rectangle being isothermal under the influence of transversely applied magnetic field has been analyzed numerically in this study. The governing differential equations of the problem have been transformed into a system of nondimensional differential equations and then solved numerically. The dimensionless velocity, microrotation components, and temperature profiles are displayed graphically showing the effects of various values of the parameters present in the problem. The results showed that the flow field is notably influenced by the considered parameters. It is found that increasing the aspect ratio increases flow reversal, commencement of the flow reversal is observed after some critical value, and the applied magnetic field increases the flow reversal in addition to flow retardation. The microrotation components flow in opposite direction; also it is found that one component of the microrotation will show no rotational effect around the center of the duct.

MIXED-CONVECTION NANOFLUID FLOW THROUGH A GROOVED CHANNEL WITH INTERNAL HEAT GENERATING SOLID CYLINDERS IN THE PRESENCE OF AN APPLIED MAGNETIC FIELD

2019 ◽  
Vol 50 (3) ◽  
pp. 287-309
Author(s):  
Mohammad Sadegh Dehghani ◽  
Davood Semiromi Toghraie ◽  
Babak Mehmandoust
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Applied Magnetic Field ◽  
Internal Heat ◽  
Nanofluid Flow ◽  
Flow Through

A theoretical investigation for mixed convection impact in non-Newtonian nanofluid stratified flow subjected to magnetic field

2019 ◽  
Vol 29 (8) ◽  
pp. 2948-2963 ◽  
Author(s):  
Muhammad Waqas ◽  
Muhammad Mudassar Gulzar ◽  
Zeeshan Asghar ◽  
Z. Ali ◽  
Waqar Azeem Khan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Thermal Stratification ◽  
Design Methodology ◽  
Thermal Field ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Nanofluid Flow ◽  
Content Type ◽  
Grade Fluid

Purpose The purpose of this study is to elaborate mixed convection impact in stratified nanofluid flow by convectively heated moving surface. Rheological relations of second-grade fluid are used for formulation. Magnetic field, heat absorption/generation and convective conditions are considered for modeling. Design/methodology/approach Convergent solutions are achieved using homotopy procedure. Findings The authors found opposing behavior for radiation and thermal stratification variables against thermal field. Originality/value No such analysis has yet been reported.

A study for steady nanofluid flow between parallel plates

2017 ◽  
Vol 34 (8) ◽  
pp. 2514-2527 ◽  
Author(s):  
Syed Tauseef Mohyud-din ◽  
Muhammad Asad Iqbal ◽  
Muhammad Shakeel
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Uniform Magnetic Field ◽  
Design Methodology ◽  
Magnetic Parameter ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Content Type ◽  
Viscosity Parameter ◽  
Variation Of Parameters

Purpose In this paper, the authors study the behavior of heat and mass transfer between parallel plates of a steady nanofluid flow in the presence of a uniform magnetic field. In the model of nanofluids, the essential effect of thermophoresis and Brownian motion has been encompassed. Design/methodology/approach The variation of parameters method has been exploited to solve the differential equations of nanofluid model. The legitimacy of the variation of parameters method has been corroborated by a comparison of foregoing works by many authors on viscous fluid. Findings An analysis of the model is performed for different parameters, namely, viscosity parameter, Brownian parameter, thermophoretic parameter and magnetic parameter. Originality/value The variation of parameters method proves to be very effective in solving nonlinear system of ordinary differential equations which frequently arise in fluid mechanics.

scholarly journals Ordinary Differential Equations Models for Observing the Phenomena of Temperature Changes on a Single Rectangular Plate Fin

2021 ◽  
Vol 8 (1) ◽  
pp. 89-94
Author(s):  
Arief Goeritno
Keyword(s):  
Mass Transfer ◽  
Blood Flow ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Sherwood Number ◽  
Schmidt Number ◽  
Capillary Tube ◽  
Slip Parameter ◽  
Thermal Buoyancy ◽  
Buoyancy Parameter

In this study, the heat and mass transfer of the blood flow, particularly in a capillary tube having a porous lumen and permeable wall in the presence of external magnetic field are considered. The velocity, temperature and concentration of blood flow become unsteady due to the time dependence of the stretching velocity, surface temperature and surface concentration. The thermal and mass buoyancy effect on blood flow, heat transfer and mass transfer are taken into account in the presence of thermal radiation. This analysis is very much useful in the treatment of cardiovascular disorders. The equations governing the flow under some assumptions are complex in nature, but capable of presenting the realistic model of blood flow using the theory of boundary layer approximation and similarity transformation. First, the system of coupled partial differential equations (PDEs) is converted into a system of coupled ordinary differential equations (ODEs). Then the solutions are obtained by Runge-Kutta method of 4thorder with shooting technique. The effects of various parameters such as Hartman number, radiation parameter, unsteadiness parameter, permeable parameter, thermal buoyancy parameter, Prandtl number, mass buoyancy parameter, velocity slip parameter, thermal slip parameter, Schmidt number on velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are depicted through graphs. Local Sherwood number enhances because of increase in Schmidt number. Moreover, some of the important results, which are discussed in the present study and have an impact on diseases like hyperthermia, stoke and moyamoya in human body.

scholarly journals Influence of Buoyant Forces on Magnetohydrodynamics (MHD) Blood Flow with an Interaction of Thermal Radiation

2021 ◽  
Vol 8 (1) ◽  
pp. 71-80
Author(s):  
Madhusudan Senapati ◽  
Sampada Kumar Parida
Keyword(s):  
Mass Transfer ◽  
Blood Flow ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Sherwood Number ◽  
Schmidt Number ◽  
Capillary Tube ◽  
Slip Parameter ◽  
Thermal Buoyancy ◽  
Buoyancy Parameter

In this study, the heat and mass transfer of the blood flow, particularly in a capillary tube having a porous lumen and permeable wall in the presence of external magnetic field are considered. The velocity, temperature and concentration of blood flow become unsteady due to the time dependence of the stretching velocity, surface temperature and surface concentration. The thermal and mass buoyancy effect on blood flow, heat transfer and mass transfer are taken into account in the presence of thermal radiation. This analysis is very much useful in the treatment of cardiovascular disorders. The equations governing the flow under some assumptions are complex in nature, but capable of presenting the realistic model of blood flow using the theory of boundary layer approximation and similarity transformation. First, the system of coupled partial differential equations (PDEs) is converted into a system of coupled ordinary differential equations (ODEs). Then the solutions are obtained by Runge-Kutta method of 4thorder with shooting technique. The effects of various parameters such as Hartman number, radiation parameter, unsteadiness parameter, permeable parameter, thermal buoyancy parameter, Prandtl number, mass buoyancy parameter, velocity slip parameter, thermal slip parameter, Schmidt number on velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are depicted through graphs. Local Sherwood number enhances because of increase in Schmidt number. Moreover, some of the important results, which are discussed in the present study and have an impact on diseases like hyperthermia, stoke and moyamoya in human body.

scholarly journals Brownian Motion and Thermophoretic Diffusion Effects on Micropolar Type Nanofluid Flow with Soret and Dufour Impacts over an Inclined Sheet: Keller-Box Simulations

Energies ◽  
2019 ◽  
Vol 12 (21) ◽  
pp. 4191 ◽  
Author(s):  
Khuram Rafique ◽  
Muhammad Imran Anwar ◽  
Masnita Misiran ◽  
Ilyas Khan ◽  
Asiful H. Seikh ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
Soret Effect ◽  
Nanofluid Flow ◽  
Soret And Dufour Effects ◽  
Similarity Transformations ◽  
Stretching Factor ◽  
Micropolar Nanofluid ◽  
Nonlinear Stretching ◽  
Physical Quantities

The principal objective of the current study is to analyze the Brownian motion and thermophoretic impacts on micropolar nanofluid flow over a nonlinear inclined stretching sheet taking into account the Soret and Dufour effects. The compatible similarity transformations are applied to obtain the nonlinear ordinary differential equations from the partial differential equations. The numerical solution of the present study obtained via the Keller-Box technique. The physical quantities of interest are skin friction, Sherwood number, and heat exchange, along with several influences of material parameters on the momentum, temperature, and concentration are elucidated and clarified with diagrams. A decent settlement can be established in the current results with previously published work in the deficiency of incorporating effects. It is found that the growth of the inclination and nonlinear stretching factor decreases the velocity profile. Moreover, the growth of the Soret effect reduces the heat flux rate and wall shear stress.

scholarly journals MHD Heat and Mass Transfer Forced Convection Flow along a Vertical Stretching Sheet with Heat Generation and Radiation

1970 ◽  
Vol 46 (2) ◽  
pp. 169-176
Author(s):  
MA Samad ◽  
S Ahmed
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Forced Convection ◽  
Heat Generation ◽  
Stretching Sheet ◽  
Convection Flow ◽  
Concentration Profiles ◽  
Forced Convection Flow

The present study comprises of steady two dimensional magnetohydrodynamic heat and mass transfer forced convection flow along a vertical stretching sheet in the presence of magnetic field with radiation. The nonlinear partial differential equations governing the flow field occurring in the problem have been transformed to dimensionless nonlinear ordinary differential equations by introducing suitably selected similarity variables. The ensuing equations are simultaneously solved by applying Nachtsheim-Swigert shooting iteration technique with sixth order Runge-Kutta integration scheme. The results in the form of velocity, temperature and concentration profiles are then displayed graphically. The corresponding skin-friction coefficient, Nusselt number and Sherwood number are displayed graphically and also in tabular form as well. Several important parameters such as the prandtl number (Pr), radiation parameter (N), magnetic field parameter (M), heat source parameter (Q), schmidt number (Sc), suction parameter (fw ) and eckert number (Ec) are confronted. The effects of these parameters on the velocity, temperature and concentration profiles are investigated. Key Words: MHD; Forced convection; Stretching sheet; Radiation; Heat generation. DOI: http://dx.doi.org/10.3329/bjsir.v46i2.8183 Bangladesh J. Sci. Ind. Res. 46(2), 169-176, 2011

Hydrothermal analysis on non-Newtonian nanofluid flow of blood through porous vessels

2022 ◽  
pp. 095440892110692
Author(s):  
S. Hosseinzadeh ◽  
Kh. Hosseinzadeh ◽  
A. Hasibi ◽  
D.D. Ganji
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Magnetic Field Intensity ◽  
Porous Wall ◽  
Blood Velocity ◽  
Concentration Profiles ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Nanofluid Flow ◽  
The Magnetic Field

In this paper, the flow of non-Newtonian blood fluid with nanoparticles inside a vessel with a porous wall in presence of a magnetic field have been investigated. This study aimed to investigate various parameters such as magnetic field and porosity on velocity, temperature, and concentration profiles. In this research, three different models (Vogel, Reynolds and Constant) for viscosity have been used as an innovation. The governing equations are solved by Akbari-Ganji's Method (AGM) analytical method and the Finite Element Method (FEM) is used to better represent the phenomena in the vessel. The results show that increasing the Gr number, porosity and negative pressure increase the blood velocity and increasing the magnetic field intensity decrease the blood velocity.

Heat and Mass Transfer in MHD Eyring-Powell Nanofluid Flow due to Cone in Porous Medium

2015 ◽  
Vol 19 ◽  
pp. 57-74 ◽  
Author(s):  
Macharla Jayachandra Babu ◽  
Naramgari Sandeep ◽  
Chakravarthula S.K. Raju
Keyword(s):  
Differential Equations ◽  
Transfer Rate ◽  
Dual Solutions ◽  
Concentration Profiles ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Injection Parameter ◽  
Buoyancy Forces ◽  
Suction Or Injection ◽  
Layer Flow

In this paper, we analyzed the thermophoresis and Brownian motion effects on the boundary layer flow of a magnetohydrodynamic Eyring-Powell nanofluid over a permeable cone in the presence of buoyancy forces and suction/injection effects. The governing partial differential equations are transformed into set of non-linear coupled ordinary differential equations by using self-suitable transformations, which are then solved numerically using Runge-Kutta fourth order along with shooting technique. The obtained results present the effects of various non-dimensional governing parameters on velocity, temperature and concentration profiles. Also, enumerated and analyzed the friction factor, local Nusselt and Sherwood numbers. We presented dual solutions for suction and injection cases and found an excellent agreement of the present results with the existed studies under some special limited cases. Result indicates that dual solutions are available only for particular range of suction or injection parameter and Eyring-Powell parameter have tendency to enhance the heat transfer rate.

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