A Fractional Model of Casson Fluid with Ramped Wall Temperature: Engineering Applications of Engine Oil

2021 ◽  
Author(s):  
Muhammad Arif ◽  
Poom Kumam ◽  
Wiyada Kumam ◽  
Ilyas Khan ◽  
Muhammad Ramzan
Keyword(s):  
Wall Temperature ◽  
Casson Fluid ◽  
Engine Oil ◽  
Engineering Applications ◽  
Fractional Model

scholarly journals Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nadeem Ahmad Sheikh ◽  
Dennis Ling Chuan Ching ◽  
Ilyas Khan ◽  
Hamzah Bin Sakidin ◽  
Muhammad Jamil ◽  
...  
Keyword(s):  
Energy Equation ◽  
Volume Fraction ◽  
Mhd Flow ◽  
Integral Transforms ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Fourier’S Law ◽  
Fractional Model ◽  
Laplace Transformations ◽  
Fourier's Law

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.

scholarly journals Exact Solutions for Unsteady Free Convection Flow of Casson Fluid over an Oscillating Vertical Plate with Constant Wall Temperature

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Asma Khalid ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Wall Temperature ◽  
Vertical Plate ◽  
Fluid Model ◽  
Casson Fluid ◽  
Convection Flow ◽  
Constant Wall Temperature ◽  
Transform Method ◽  
Casson Fluid Model

The unsteady free flow of a Casson fluid past an oscillating vertical plate with constant wall temperature has been studied. The Casson fluid model is used to distinguish the non-Newtonian fluid behaviour. The governing partial differential equations corresponding to the momentum and energy equations are transformed into linear ordinary differential equations by using nondimensional variables. Laplace transform method is used to find the exact solutions of these equations. Expressions for shear stress in terms of skin friction and the rate of heat transfer in terms of Nusselt number are also obtained. Numerical results of velocity and temperature profiles with various values of embedded flow parameters are shown graphically and their effects are discussed in detail.

scholarly journals Study of Radiation, Reaction and Parabolic Motion Effects on MHD Casson Fluid Flow with Ramped Wall Temperature

10.29007/g5p6 ◽  
2018 ◽  
Author(s):  
Harshad Patel ◽  
Hari Kataria
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Casson Fluid ◽  
Reaction Parameter ◽  
Radiation Chemical ◽  
Grashof Number ◽  
Laplace Transform Technique ◽  
Chemical Reaction Parameter

This article studies effect of thermal radiation, chemical reaction and parabolic motion on the unsteady MHD Casson fluid flow past an infinite vertical plate embedded with ramped wall temperature. The fluid is electrically conducting and passing through a porous medium. This phenomenon is modeled in the form of partial differential equations with initial and boundary conditions. Some suitable non-dimensional variables are introduced and corresponding dimensionless equations are solved using the Laplace transform technique. Analytical expressions for velocity, temperature and concentration profiles are obtained. The features of the velocity, temperature and concentration are analyzed by plotting graphs and the physical aspects are studied for different parameters like the magnetic field parameter M, thermal radiation parameter R, chemical reaction parameter〖 R〗^', thermal Grashof number Gr, mass Grashof number Gm, Schmidt number Sc, Prandtl number Pr and time variable t. It is seen that velocity profiles decrease with increase in thermal radiation R and chemical reaction parameter〖 R〗^'.

scholarly journals Maxwell Nanofluid Flow over an Infinite Vertical Plate with Ramped and Isothermal Wall Temperature and Concentration

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Naveed Khan ◽  
Farhad Ali ◽  
Muhammad Arif ◽  
Zubair Ahmad ◽  
Aamina Aamina ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Molybdenum Disulfide ◽  
Wall Temperature ◽  
Base Fluid ◽  
Vertical Plate ◽  
Maxwell Fluid ◽  
Engine Oil ◽  
Isothermal Wall ◽  
The Impact ◽  
Infinite Vertical Plate

The aim of this study is to investigate how heat and mass transfer impacts the unsteady incompressible flow of Maxwell fluid. An infinite vertical plate with ramped and isothermal wall temperature and concentration boundary conditions is considered with the Maxwell fluid. Furthermore, in this study, engine oil has been taken as a base fluid due to its enormous applications in modern science and technologies. To see the importance of nanofluids, we have suspended molybdenum disulfide in engine oil base fluid to enhance its heat transfer rate. To investigate the flow regime, the system of equations was derived in the form of partial differential equations. The exact solutions to the complex system are obtained using the Laplace transform technique. Graphically, the impact of different embedded parameters on velocity, temperature, and concentration distributions has been shown. Through using the graphical analysis, we were interested in comparing the velocity, temperature, and concentration profiles for ramped and isothermal wall temperature and concentration. The magnitude of velocity, temperature, and concentration distributions is greater for an isothermal wall and less for a ramped wall, according to our observations. We observed that adding molybdenum disulfide nanoparticles to the engine oil increased the heat transfer up to 12.899%. Finally, the corresponding skin friction, Nusselt number, and Sherwood number have been calculated and presented in a tabular form.

scholarly journals Atangana–Baleanu fractional model for the flow of Jeffrey nanofluid with diffusion-thermo effects: applications in engine oil

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Farhad Ali ◽  
Saqib Murtaza ◽  
Ilyas Khan ◽  
Nadeem Ahmad Sheikh ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Engine Oil ◽  
Fractional Model ◽  
Jeffrey Nanofluid

scholarly journals Enhanced heat transfer in working fluids using nanoparticles with ramped wall temperature: Applications in engine oil

2019 ◽  
Vol 11 (11) ◽  
pp. 168781401988098 ◽  
Author(s):  
Muhammad Arif ◽  
Farhad Ali ◽  
Nadeem Ahmad Sheikh ◽  
Ilyas Khan
Keyword(s):  
Molybdenum Disulfide ◽  
Wall Temperature ◽  
Base Fluid ◽  
Maxwell Fluid ◽  
Graphical Analysis ◽  
Engine Oil ◽  
Mathematical Expressions ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Graphene Nanoparticles

The purpose of this article is to investigate the flow of Maxwell fluid with nanoparticles, that is, molybdenum disulfide and graphene with ramped temperature condition at the boundary, and engine oil is considered as base fluid. Furthermore, molybdenum disulfide and graphene nanoparticles are uniformly distributed in the base fluid. The problem is modeled in terms of partial differential equations with physical initial and boundary conditions. To make the system of governing equations dimensionless, we introduced some suitable non-dimensional variables. The obtained dimensionless system of equations is solved using the Laplace transform technique. From graphical analysis, it can be noticed that the velocity is high with isothermal wall temperature and lower for ramped wall temperature. These solutions are verified by comparing with the well-known published results. In addition, the physics of all parameters of interest is discussed through graphs. The mathematical expressions for skin friction and Nusselt number are mentioned and the obtained results are presented in tabular form. Finally, the effect of molybdenum disulfide and graphene nanoparticles is briefly discussed for the flow and heat profiles for Maxwell nanofluid.

Study of Carbon Nanotubes with a Casson Fluid in a Vertical Channel of Porous Media under MHD and Dufour Effect

2021 ◽  
Vol 13 (1) ◽  
pp. 31-45
Author(s):  
S. Hazarika ◽  
S. Ahmed
Keyword(s):  
Carbon Nanotubes ◽  
Volume Fraction ◽  
Saturated Porous Medium ◽  
Fluid Velocity ◽  
Vertical Channel ◽  
Casson Fluid ◽  
Engine Oil ◽  
Single Wall Carbon Nanotubes ◽  
Physical Parameters ◽  
The Impact

An analysis is conducted to investigate the problem of heat/mass transfer in MHD free convective flow of Casson-fluid in a vertical channel embedded with saturated porous medium past through carbon nanotubes in the form of single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs) with engine oil as base fluid. In this article, the impact of CNT’s on velocity, temperature, shear stress and rate of heat transfer of the nanofluid has been investigated and studied graphically for the effects of different key physical parameters involved. The validity of this flow model is presented and is found satisfactory agreement with published results. The results state that, fluid velocity accelerates for greater values of Casson parameter and nanoparticles volume fraction, while thermal radiation (R) and heat generation (Q) assume a significant role in CNT's. Applications of this study arise in broad area of science and engineering such as thermal conductivity, energy storage, biomedical applications, air and water filtration, fibers and fabrics.

scholarly journals Unsteady boundary layer flow of a casson fluid past an oscillating vertical plate with constant wall temperature

2015 ◽  
Vol 11 (1) ◽  
Author(s):  
Asma Khalid ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Boundary Layer ◽  
Newtonian Fluid ◽  
Wall Temperature ◽  
Boundary Layer Flow ◽  
Vertical Plate ◽  
Casson Fluid ◽  
Unsteady Boundary Layer ◽  
Constant Wall Temperature ◽  
Casson Fluid Model ◽  
Layer Flow

The unsteady boundary layer flow is presented for non-Newtonian fluid flow past an oscillating vertical plate with constant wall temperature. The Casson fluid model is used to distinguish the non-Newtonian fluid behavior. The governing partial differential equations corresponding to the momentum and energy equations are transformed into dimensionless forms, by using suitable transformations. Laplace transform method is used to find the exact solutions of these equations. The expressions for shear stress in terms of skin friction and the rate of heat transfer in terms of Nusselt number are also obtained. Numerical results of velocity and temperature profiles with various values of embedded flow parameters are shown graphically and their effects are discussed in detail. 

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