Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model

AbstractThe present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.

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Numerical Study of MHD Flow and Heat Transfer Through Porous Medium Between Two Parallel Plates With Hall and Ion Slip Effects

International Journal of Materials ◽

10.46300/91018.2020.7.11 ◽

2020 ◽

Vol 7 ◽

Keyword(s):

Heat Transfer ◽

Porous Medium ◽

Numerical Study ◽

Mhd Flow ◽

Parallel Plates ◽

Electrically Conducting ◽

Flow And Heat Transfer ◽

Slip Effects ◽

Ion Slip ◽

Temperature And Pressure

This paper studies the effects of Hall and ion slip on two dimensional incompressible flow and heat transfer of an electrically conducting viscous fluid in a porous medium between two parallel plates, generated due to periodic suction and injection at the plates. The flow field, temperature and pressure are assumed to be periodic functions in ti e ω and the plates are kept at different but constant temperatures. A numerical solution for the governing nonlinear ordinary differential equations is obtained using quasilinearization method. The graphs for velocity, temperature distribution and skin friction are presented for different values of the fluid and geometric parameters.

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Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium

Journal of King Saud University - Science ◽

10.1016/j.jksus.2016.05.003 ◽

2017 ◽

Vol 29 (2) ◽

pp. 250-259 ◽

Cited By ~ 43

Author(s):

Imran Ullah ◽

Sharidan Shafie ◽

Ilyas Khan

Keyword(s):

Porous Medium ◽

Stretching Sheet ◽

Mhd Flow ◽

Casson Fluid ◽

Slip Condition ◽

Newtonian Heating ◽

Nonlinearly Stretching Sheet

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Slip effects on entropy generation in MHD flow over a stretching surface in the presence of thermal radiation

International Journal of Exergy ◽

10.1504/ijex.2013.055775 ◽

2013 ◽

Vol 13 (1) ◽

pp. 1 ◽

Cited By ~ 8

Author(s):

Adnan Saeed Butt ◽

Asif Ali ◽

Sufian Munawar

Keyword(s):

Thermal Radiation ◽

Entropy Generation ◽

Mhd Flow ◽

Stretching Surface ◽

Slip Effects

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

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences ◽

10.37934/arfmts.82.1.111 ◽

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.

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Analysis of newly developed fractal-fractional derivative with power law kernel for MHD couple stress fluid in channel embedded in a porous medium

Scientific Reports ◽

10.1038/s41598-021-00163-3 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Muhammad Arif ◽

Poom Kumam ◽

Wiyada Kumam ◽

Ali Akgul ◽

Thana Sutthibutpong

Keyword(s):

Porous Media ◽

Fractional Derivative ◽

Power Law ◽

Real World ◽

Couple Stress ◽

Mhd Flow ◽

External Pressure ◽

Couple Stress Fluid ◽

Fractional Model ◽

The Right

AbstractFractal-fractional derivative is a new class of fractional derivative with power Law kernel which has many applications in real world problems. This operator is used for the first time in such kind of fluid flow. The big advantage of this operator is that one can formulate models describing much better the systems with memory effects. Furthermore, in real world there are many problems where it is necessary to know that how much information the system carries. To explain the memory in a system fractal-fractional derivatives with power law kernel is analyzed in the present work. Keeping these motivation in mind in the present paper new concept of fractal-fractional derivative for the modeling of couple stress fluid (CSF) with the combined effect of heat and mass transfer have been used. The magnetohydrodynamics (MHD) flow of CSF is taken in channel with porous media in the presence of external pressure. The constant motion of the left plate generates the CSF motion while the right plate is kept stationary. The non-dimensional fractal-fractional model of couple stress fluid in Riemann–Liouville sense with power law is solved numerically by using the implicit finite difference method. The obtained solutions for the present problem have been shown through graphs. The effects of various parameters are shown through graphs on velocity, temperature and concentration fields. The velocity, temperature and concentration profiles of the MHD CSF in channel with porous media decreases for the greater values of both fractional parameter $$\alpha$$ α and fractal parameter $$\beta$$ β respectively. From the graphical results it can be noticed that the fractal-fractional solutions are more general as compared to classical and fractional solutions of CSF motion in channel. Furthermore, the fractal-fractional model of CSF explains good memory effect on the dynamics of couple stress fluid in channel as compared to fractional model of CSF. Finally, the skin friction, Nusselt number and Sherwood number are evaluated and presented in tabular form.

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