Performance of Nano-Casson Fluid on Convective Flow Past a Permeable Stretching Sheet: Thermophoresis and Brownian Motion Effects

The paramount importance of the current study has to deliberate nanoparticles for the Casson fluid model supposing Thermophoresis and Brownian motion associates Runge-Kutta fifth-order technique is applied to reduce the elements of non-linear regular difference calculations. Nondimensional physical parameters have appeared after utilization of correspondence alterations among with the design of connected normal difference omputations, where govern the performance of Nano-Casson fluid. Joined calculations are then attempted mathematically, also then the physical behaviour of individually element is exposed explicitly. Numerical consequences for Nusselt and Sherwood numbers through various engineering linked parameters are presented in tabular forms. Finally, program code validation is discussed. Where identified the velocity profiles are decreasing function of Casson fluid and Magnetic field parameters. Temperature is found as an advanced function for the effects of Brownian motion and Thermophoresis limitations. Also, the consequences show that growing of stretching limitation mains to a growth in the velocity distribution and Skin-friction coefficient, while a decrease in the temperature distribution and Nusselt number coefficient. A growth of the Thermophoresis parameter leads to increased nanoparticle volume concentration distribution and the Sherwood number coefficient.

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Casson Liquid Flow due to Porous Stretching Sheet with Suction/Injection

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.388.420 ◽

2018 ◽

Vol 388 ◽

pp. 420-432

Author(s):

Vinay Kumar Poorigaly Nanjundaswamy ◽

Ulavathi Shettar Mahabaleshwar ◽

Patil Mallikarjun ◽

Mohaddeseh Mousavi Nezhad ◽

Giulio Lorenzini

Keyword(s):

Differential Equations ◽

Stretching Sheet ◽

Theoretical Study ◽

Fluid Model ◽

Nonlinear Partial Differential Equations ◽

Casson Fluid ◽

Skin Friction Coefficient ◽

Boundary Layer Flows ◽

Similarity Transformations ◽

Casson Fluid Model

The theoretical study of laminar boundary layer flows of a non-Newtonian fluid past a stretching sheet in an embedded porous medium in the presence of suction/injection is of significant importance in the crystal growing, geothermal, metallurgical, polymer extrusion and several other technological processes. Casson fluid model is one such fluid model used to characterize the behaviour of non-Newtonian fluids. The present article discusses the Casson fluid flow past a permeable stretching sheet in the presence of mass transpiration. The physical problem is modelled into a system of nonlinear partial differential equations which are analytically solved by transforming them into nonlinear ordinary differential equations with constant coefficient by means of similarity transformations. The analysis reveals the effect of Casson parameter on the velocity boundary. In fact, the increasing Casson parameter results in the suppression of velocity boundary. It is found that the skin friction coefficient decreases with the decreasing values of Casson parameter. The effects of Darcy drag force and the mass transpiration are also analyzed by means of various plots.

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Unsteady MHD mixed convective Casson fluid flow over a flat surface in the presence of slip

International Journal of Modern Physics C ◽

10.1142/s0129183121500388 ◽

2020 ◽

pp. 2150038

Author(s):

Bidyut Mandal ◽

G. C. Layek

Keyword(s):

Scaling Laws ◽

Flat Surface ◽

Fluid Model ◽

Casson Fluid ◽

Partial Slip ◽

Continuous Group ◽

Physical Parameters ◽

Convective Boundary ◽

Nonlinear Odes ◽

Casson Fluid Model

In this paper, we address a two-dimensional unsteady MHD mixed convective boundary layer flow past a flat surface of an electrically conducting Casson fluids taking radiative heat transfer. The partial slip boundary condition is imposed in the presence of suction/blowing. By adopting the continuous group of symmetry transformations, the symmetries and scaling laws are determined for the governing nonlinear partial differential equations along with boundary conditions. Finally, the set of coupled self-similar nonlinear ODEs is obtained. These equations are solved numerically for finding similar velocity and temperature for different parameter values. The effects of physical parameters on velocity and temperature are determined. The main findings are that the velocity profiles grow concavely and after reaching a critical point, the profiles overshoot by decreasing the velocity. This is due to the change of stress behavior which is an intrinsic property of the Casson fluid model. The imposition of partial slip condition on the flat surface leads to enhancement of the velocity overshoot.

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Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

Science Progress ◽

10.1177/00368504211031693 ◽

2021 ◽

Vol 104 (3) ◽

pp. 003685042110316

Author(s):

Salman Akhtar ◽

Luthais B McCash ◽

Sohail Nadeem ◽

Salman Saleem ◽

Alibek Issakhov

Keyword(s):

Blood Flow ◽

Flow Problem ◽

Fluid Model ◽

Casson Fluid ◽

Viscous Effects ◽

Heating Effects ◽

Casson Fluid Model ◽

Flow Through ◽

Mathematical Equations ◽

Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

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EMHD time-dependant tangent hyperbolic nanofluid flow by a convective heated Riga plate with chemical reaction

Proceedings of the Institution of Mechanical Engineers Part E Journal of Process Mechanical Engineering ◽

10.1177/0954408918805261 ◽

2018 ◽

Vol 233 (4) ◽

pp. 776-786 ◽

Cited By ~ 3

Author(s):

A Mahdy ◽

GA Hoshoudy

Keyword(s):

Boundary Condition ◽

Brownian Motion ◽

Skin Friction ◽

Chemical Reaction ◽

Slip Boundary Condition ◽

Negative Influence ◽

Skin Friction Coefficient ◽

Physical Parameters ◽

Riga Plate ◽

Linear Differential

The present exploration addresses the boundary layer electro-magnetohydrodynamic (EMHD) flow of time-dependant non-Newtonian tangent hyperbolic nanofluid that is electrically conducting past a Riga surface with variable thickness and slip boundary condition. Configuration flow modeling is deduced considering chemical reaction and heat generation/absorption with the impacts of Brownian motion and thermophoresis. Also a newly proposed boundary condition with zero mass flux has been presented in the current contribution. Numerical solution of the governing non-linear differential equations is presented by considering the shooting technique. Graphical illustrations pointing out the aspects of distinct physical parameters on the non-Newtonian nanofluid velocity, temperature and concentration fields are introduced. From the computational results, the concentration distribution gives a decreasing function of the chemical reaction and Brownian motion parameters. Higher values of shape parameter yield a negative influence on the mechanical properties of the surface. The Hartmann number leads to maximize both of velocity field and skin friction coefficient. Additionally, numerical computed values of the skin friction, local Nusselt and Sherwood numbers are depicted with the needful discussion.

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

Abstract and Applied Analysis ◽

10.1155/2015/946350 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8 ◽

Cited By ~ 9

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.

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Numerical Solution of Non-Newtonian Fluid Flow Due to Rotatory Rigid Disk

Symmetry ◽

10.3390/sym11050699 ◽

2019 ◽

Vol 11 (5) ◽

pp. 699 ◽

Cited By ~ 21

Author(s):

Khalil Ur Rehman ◽

M. Y. Malik ◽

Waqar A Khan ◽

Ilyas Khan ◽

S. O. Alharbi

Keyword(s):

Brownian Motion ◽

Newtonian Fluid ◽

Fluid Model ◽

Rotating Disk ◽

Casson Fluid ◽

Infinite Domain ◽

Nanoparticles Concentration ◽

Navier’S Slip ◽

Local Sherwood Number

In this article, the non-Newtonian fluid model named Casson fluid is considered. The semi-infinite domain of disk is fitted out with magnetized Casson liquid. The role of both thermophoresis and Brownian motion is inspected by considering nanosized particles in a Casson liquid spaced above the rotating disk. The magnetized flow field is framed with Navier’s slip assumption. The Von Karman scheme is adopted to transform flow narrating equations in terms of reduced system. For better depiction a self-coded computational algorithm is executed rather than to move-on with build-in array. Numerical observations via magnetic, Lewis numbers, Casson, slip, Brownian motion, and thermophoresis parameters subject to radial, tangential velocities, temperature, and nanoparticles concentration are reported. The validation of numerical method being used is given through comparison with existing work. Comparative values of local Nusselt number and local Sherwood number are provided for involved flow controlling parameters.

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Theoretical analysis of thermal entrance problem for blood flow: An extension of classical Graetz problem for Casson fluid model using generalized orthogonality relations

International Communications in Heat and Mass Transfer ◽

10.1016/j.icheatmasstransfer.2019.104314 ◽

2019 ◽

Vol 109 ◽

pp. 104314 ◽

Cited By ~ 6

Author(s):

Muhammad Waris Saeed Khan ◽

Nasir Ali

Keyword(s):

Blood Flow ◽

Theoretical Analysis ◽

Fluid Model ◽

Casson Fluid ◽

Graetz Problem ◽

Casson Fluid Model ◽

Orthogonality Relations ◽

Thermal Entrance

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Finite Element Study of MHD Impacts on the Rotating Flow of Casson Nanofluid with the Double Diffusion Cattaneo—Christov Heat Flux Model

Mathematics ◽

10.3390/math8091555 ◽

2020 ◽

Vol 8 (9) ◽

pp. 1555 ◽

Cited By ~ 1

Author(s):

Bagh Ali ◽

Rizwan Ali Naqvi ◽

Amir Haider ◽

Dildar Hussain ◽

Sajjad Hussain

Keyword(s):

Finite Element ◽

Brownian Motion ◽

Physical Nature ◽

Double Diffusion ◽

Casson Fluid ◽

Rotating Flow ◽

Differential Problem ◽

And Brownian Motion ◽

Finite Element Procedure ◽

Flux Model

A study for MHD (magnetohydrodynamic) impacts on the rotating flow of Casson nanofluids is considered. The concentration and temperature distributions are related along with the double diffusion Cattaneo–Christov model, thermophoresis, and Brownian motion. The governing equations in the 3D form are changed into dimensionless two-dimensional form with the implementation of suitable scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled nonlinear partial differential problem. The variation patterns of Sherwood number, Nusselt number, skin friction coefficients, velocities, concentration, and temperature functions are computed to reveal the physical nature of this examination. It is seen that higher contributions of the magnetic force, Casson fluid, and rotational fluid parameters cause to raise the temperature like thermophoresis and Brownian motion does but causes slowing the primary as well as secondary velocities. The FEM solutions showing an excellent correlation with published results. The current study has significant applications in the biomedical, modern technologies of aerospace systems, and relevance to energy systems.

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