scholarly journals Functional Effects of Permeability on Oldroyd-B Fluid under Magnetization: A Comparison of Slipping and Non-Slipping Solutions

2021 ◽  
Vol 11 (23) ◽  
pp. 11477
Author(s):  
Muhammad Bilal Riaz ◽  
Jan Awrejcewicz ◽  
Aziz Ur Rehman
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Graphical Representation ◽  
Integral Transformation ◽  
Flow Characteristics ◽  
Mhd Flow ◽  
Maxwell Model ◽  
Second Grade ◽  
Newtonian Heating ◽  
The Impact

In this article, the impact of Newtonian heating in addition to slip effects was critically examined on the unsteady magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid near an infinitely vertical plate. The functional effects such as the retardation and relaxation of materials can be estimated for magnetized permeability based on the relative decrease or increase during magnetization. From this perspective, a new mathematical model was formulated based on non-slippage and slippage postulates for the Oldroyd-B fluid with magnetized permeability. The heat transfer induction was also examined through a non-fractional developed mathematical model for the Oldroyd-B fluid. The exact solution expressions for non-dimensional equations of velocity and temperature were explored by employing Laplace integral transformation under slipping boundary conditions under Newtonian heating. The heat transfer rate was estimated through physical interpretation by considering the limits on the solutions induced by the Nusselt number. To comprehensively discuss the dynamics of the considered problem, the physical impacts of different parameters were studied and reverberations were graphically highlighted and deliberated. Furthermore, in order to validate the results, two limiting models, namely the Maxwell model and the second grade model, were used to compare the relevant flow characteristics. Additionally, in order to perform the parametric analysis, the graphical representation was portrayed for non-slipping and slipping solutions for velocity and temperature.

scholarly journals Concentric Catheterization to the Fractional non-Newtonian Hybrid Nano Blood Flow through a Stenosed Aneurysmal Artery

2021 ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Sehrish Bibi ◽  
Dzuliana F. Jamil ◽  
Salah Uddin ◽  
Rozaini Roslan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Flow Characteristics ◽  
Second Grade ◽  
Hybrid Nanofluid ◽  
Main Theme ◽  
Governing Equations ◽  
Arterial Segment ◽  
Flow Through ◽  
The Impact ◽  
Medical Regime

Abstract The main theme of this paper is to analyze the effects of concentric catheterization to the diseased arterial segment having both stenosis and aneurysm along its boundary. Fractional second grade hybrid nanofluid model is under consideration. Governing equations are formulated and further linearized for both cases of mild stenosis and aneurysm. Precise articulations for various important flow characteristics heat transfer, hemodynamic velocity, wall shear stress and resistance impedance are attained. Graphical portrayals for the impact of the significant parameters on the flow attributes have been devised and talked about. The worldwide conduct of blood has been examined using an instantaneous streamlines pattern. The present concept plans to be of use in medical regime for the drug conveyance system and biomedicines.

scholarly journals MHD Flow and Heat Transfer of a Jeffrey Fluid over a Porous Stretching/Shrinking Sheet with a Convective Boundary Condition

2021 ◽  
Vol 39 (3) ◽  
pp. 885-894
Author(s):  
Dondu Harish Babu ◽  
Nainaru Tarakaramu ◽  
Panyam Venkata Satya Narayana ◽  
Ganganapalli Sarojamma ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Transfer ◽  
Flow Characteristics ◽  
Mhd Flow ◽  
Jeffrey Fluid ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
Dimensionless Numbers ◽  
Convective Boundary ◽  
Suction Parameter ◽  
The Impact

This work explores the heat transfer flow characteristics of an incompressible non-Newtonian Jeffrey fluid over a stretching/shrinking surface with thermal radiation and heat source. The sheet is linearly stretched in the presence of a transverse magnetic field with convective boundary conditions. Appropriate similarity variables are used to transform the basic governing equations (PDEs) into ODEs. The resulting equations are solved by utilizing MATLAB bvp4c. The impact of distinctive physical parameters and dimensionless numbers on the flow field and heat transfer is analysed graphically. It is noticed that the measure of heat raised with increasing the Biot number and opposite effect with the rise of the suction parameter.

scholarly journals Concentric ballooned catheterization to the fractional non-newtonian hybrid nano blood flow through a stenosed aneurysmal artery with heat transfer

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Sehrish Bibi ◽  
Dzuliana F. Jamil ◽  
Salah Uddin ◽  
Rozaini Roslan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Blood Flow ◽  
Fluid Model ◽  
Flow Characteristics ◽  
Second Grade ◽  
Governing Equations ◽  
Arterial Segment ◽  
Grade Fluid ◽  
Flow Through ◽  
The Impact

AbstractThe current work analyzes the effects of concentric ballooned catheterization and heat transfer on the hybrid nano blood flow through diseased arterial segment having both stenosis and aneurysm along its boundary. A fractional second-grade fluid model is considered which describes the non-Newtonian characteristics of the blood. Governing equations are linearized under mild stenosis and mild aneurysm assumptions. Precise articulations for various important flow characteristics such as heat transfer, hemodynamic velocity, wall shear stress, and resistance impedance are attained. Graphical portrayals for the impact of the significant parameters on the flow attributes have been devised. The streamlines of blood flow have been examined as well. The present finding is useful for drug conveyance system and biomedicines.

MHD FLOW AND HEAT TRANSFER IN A CASSON FLUID OVER A NONLINEARLY STRETCHING SHEET WITH NEWTONIAN HEATING

2018 ◽  
Vol 49 (12) ◽  
pp. 1185-1198 ◽  
Author(s):  
Abid Hussanan ◽  
Mohd Zuki Salleh ◽  
Hamzeh Taha Alkasasbeh ◽  
Ilyas Khan
Keyword(s):  
Heat Transfer ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Newtonian Heating ◽  
Flow And Heat Transfer ◽  
Nonlinearly Stretching Sheet

Dufour and Soret effects on Darcy-Forchheimer flow of second-grade fluid with the variable magnetic field and thermal conductivity

2020 ◽  
Vol 30 (9) ◽  
pp. 4331-4347 ◽  
Author(s):  
Ambreen A. Khan ◽  
S. Naeem ◽  
R. Ellahi ◽  
Sadiq M. Sait ◽  
K. Vafai
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Thermal Conductivity ◽  
Variable Magnetic Field ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Content Type ◽  
Grade Fluid ◽  
The Impact ◽  
Forchheimer Flow

Purpose This study aims to investigate the effect of two-dimensional Darcy-Forchheimer flow over second-grade fluid with linear stretching. Heat transfer through convective boundary conditions is taken into account. Design/methodology/approach Nonlinear coupled governing equations are tackled with a homotopy algorithm, while for numerical computation the computer software package BVPh 2.0 is used. The convergence analysis is also presented for the validation of analytical and numerical results. Findings Valuation for the impact of key parameters such as variable thermal conductivity, Dufour and Soret effects and variable magnetic field in an electrically conducted fluid on the velocity, concentration and temperature profiles are graphically illustrated. It is observed from the results that temperature distribution rises by Dufour number whereas concentration distribution rises by Soret number. The Forchheimer number and porosity parameter raise the skin friction coefficient. The permeable medium has a vital impact and can help in reining the rate of heat transfer. Practical implications The permeable medium has a vital impact and can help in reining the rate of heat transfer. Originality/value To the best of the authors’ knowledge, this study is reported for the first time.

scholarly journals MHD Stagnation Point Flow and Heat Transfer Over a Stretching Sheet in a Blood-Based Casson Ferrofluid With Newtonian Heating

2021 ◽  
Vol 82 (1) ◽  
pp. 1-11
Author(s):  
Muhammad Khairul Anuar Mohamed ◽  
Siti Hanani Mat Yasin ◽  
Mohd Zuki Salleh ◽  
Hamzeh Taha Alkasasbeh
Keyword(s):  
Heat Transfer ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Newtonian Heating ◽  
Linear Partial Differential Equations ◽  
Flow And Heat Transfer

The present study investigated the magnetohydrodynamic (MHD) flow and heat transfer on a stagnation point past a stretching sheet in a blood-based Casson ferrofluid with Newtonian heating boundary conditions. The ferrite Fe3O4 and cobalt ferrite CoFe2O4 ferroparticles suspended into Casson fluid represent by human blood to form blood-based Casson ferrofluid are numerically examined. The mathematical model for Casson ferrofluid which is in non-linear partial differential equations are first transformed to a more convenient form by similarity transformation approach then solved numerically by using the Runge-Kutta-Fehlberg (RKF45) method. The characteristics and effects of the stretching parameter, the magnetic parameter, the Casson parameter and the ferroparticle volume fraction for Fe3O4 and CoFe2O4 on the variation of surface temperature and the reduced skin friction coefficient are analyzed and discussed. It is found that the blood-based Casson ferrofluid provided up to 46% higher in temperature surface compared to blood-based fluid with the presence of magnetic effects.

scholarly journals Use of fractional calculus in modeling of heat transfer process through external building partitions

2018 ◽  
pp. 61-70
Author(s):  
Ewa Szymanek
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Mathematical Model ◽  
Heat Transfer Process ◽  
Heat Distribution ◽  
Experiment Data ◽  
Numerical Studies ◽  
External Conditions ◽  
Fractional Differential ◽  
The Impact

This paper is devoted to experimental and numerical studies of heat distribution in an external building bulkhead. It analyzes the variation of temperature across the width of the bulkheads including the impact of changing external conditions. Mathematical model used in the research is formulated based on a fractional differential equation, which was proven to be a useful tool for describing this type of process in previous paper. Numerical results are compared with experiment data for different bulkhead configurations.

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