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

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1555 ◽  
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.

scholarly journals Finite Element Study of Magnetohydrodynamics (MHD) and Activation Energy in Darcy–Forchheimer Rotating Flow of Casson Carreau Nanofluid

Processes ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1185 ◽  
Author(s):  
Bagh Ali ◽  
Ghulam Rasool ◽  
Sajjad Hussain ◽  
Dumitru Baleanu ◽  
Sehrish Bano
Keyword(s):  
Activation Energy ◽  
Finite Element ◽  
Brownian Motion ◽  
Physical Nature ◽  
Casson Fluid ◽  
Rotating Flow ◽  
Differential Problem ◽  
Slowing Down ◽  
Carreau Nanofluid ◽  
Finite Element Procedure

Here, a study for MHD (magnetohydrodynamic) impacts on the rotating flow of Casson Carreau nanofluids is considered. The temperature distribution is associated with thermophoresis, Brownian motion, and heat source. The diffusion of chemically reactive specie is investigated with Arrhenius activation energy. 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 non-linear 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 a raise in the temperature like thermophoresis and Brownian motion does but also causes a slowing down in the primary as well as secondary velocities. The FEM solutions show 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.

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

2021 ◽  
Vol 10 (3) ◽  
pp. 372-379
Author(s):  
P. Sreedivya ◽  
Y. Sunitha Rani ◽  
R. Srinivasa Raju
Keyword(s):  
Brownian Motion ◽  
Fluid Model ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Program Code ◽  
And Brownian Motion ◽  
Casson Fluid Model ◽  
Fifth Order ◽  
Normal Difference

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.

Thermal analysis of higher-order chemical reactive viscoelastic nanofluids flow in porous media via stretching surface

2021 ◽  
pp. 095440622110084
Author(s):  
Mohamed R Eid ◽  
F Mabood
Keyword(s):  
Brownian Motion ◽  
Transfer Rate ◽  
Fluid Velocity ◽  
Mass Transfer Rate ◽  
Higher Order ◽  
Flow In Porous Media ◽  
Viscoelastic Parameter ◽  
Suction Parameter ◽  
And Brownian Motion ◽  
Magnetic Strength

The essence of the present investigation is to reveal the hydrothermal variations of viscoelastic nanofluid flow in a porous medium over a stretchable surface. A higher-order chemical reaction is incorporated with thermophoresis and Brownian motion. Similarity conversions reduce the resulting equations into their dimensionless form and then solved using Runge-Kutta-Fehlberg (RKF) based shooting procedure. The effects of underlying factors on the flow are discussed through various graphs and tables. Computational results for noteworthy skin friction and heat and mass transport are presented and reviewed with sensible judgment. The study reveals that the fluid velocity reduces with incremental values of the viscoelastic parameter [Formula: see text] and magnetic strength. The temperature reduces for the suction parameter with the existence of stretchable but enhances with thermophoresis and Brownian motion effects. Heat transfer rate amplifies for [Formula: see text] but declines for [Formula: see text]. Mass transfer rate increases with the increase in Brownian parameter and Schmidt number. A comparative analysis shows a better agreement with previous results in limiting scenarios.

Magneto convective flow of casson nanofluid due to Stefan blowing in the presence of bio-active mixers

2021 ◽  
pp. 239779142110166
Author(s):  
Venkatesh Puneeth ◽  
Sarpabhushana Manjunatha ◽  
Bijjanal Jayanna Gireesha ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Magnetic Field ◽  
Brownian Motion ◽  
Convective Flow ◽  
Three Dimensional ◽  
Induced Magnetic Field ◽  
Density Profiles ◽  
Casson Nanofluid ◽  
And Brownian Motion ◽  
Similarity Transformations ◽  
The Mathematical Model

The induced magnetic field for three-dimensional bio-convective flow of Casson nanofluid containing gyrotactic microorganisms along a vertical stretching sheet is investigated. The movement of these microorganisms cause bioconvection and they act as bio-active mixers that help in stabilising the nanoparticles in the suspension. The two forces, Thermophoresis and Brownian motion are incorporated in the Mathematical model along with Stefan blowing. The resulting model is transformed to ordinary differential equations using similarity transformations and are solved using [Formula: see text] method. The Velocity, Induced Magnetic field, Temperature, Concentration of Nanoparticles, and Motile density profiles are interpreted graphically. It is observed that the Casson parameter decreases the flow velocity and enhances the temperature, concentration, and motile density profiles and also it is noticed that the blowing enhances the nanofluid profiles whereas, suction diminishes the nanofluid profiles. On the other hand, it is perceived that the rate of heat conduction is enhanced with Thermophoresis and Brownian motion.

Analysis of Deformation for PC Thin-Wall Box Girders Exposed to Fire

2011 ◽  
Vol 368-373 ◽  
pp. 930-933
Author(s):  
Wei Hou ◽  
Shuan Hai He ◽  
Cui Juan Wang ◽  
Gang Zhang
Keyword(s):  
Finite Element ◽  
Thin Wall ◽  
Fire Load ◽  
Box Girders ◽  
Conduction Model ◽  
Load Model ◽  
Deformation Problem ◽  
Finite Element Procedure ◽  
Thin Walled

Being aimed to deformation problem of pre-stressed concrete thin-walled multi-room box girders exposed to co-action of fire and load, on the basis of enthalpy conduction model and thermo-mechanics parameters, the finite element procedure was applied to analyze the deformation of three spans pre-stressed concrete thin-walled multi-room box girders exposed to co-action of fire and load. In conclusion, the deflection is obvious under action of the variation width and fire load model.

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