scholarly journals Stability Analysis of MHD Carreau Fluid Flow over a Permeable Shrinking Sheet with Thermal Radiation

2019 ◽  
Vol 48 (10) ◽  
pp. 2285-2295 ◽  
Author(s):  
Rusya Iryanti Yahaya ◽  
Norihan Md Arifin ◽  
Siti Suzilliana Putri Mohamed Isa
Keyword(s):  
Fluid Flow ◽  
Stability Analysis ◽  
Thermal Radiation ◽  
Shrinking Sheet ◽  
Carreau Fluid

scholarly journals An MHD Fluid Flow over a Porous Stretching/Shrinking Sheet with Slips and Mass Transpiration

Micromachines ◽  
2022 ◽  
Vol 13 (1) ◽  
pp. 116
Author(s):  
A. B. Vishalakshi ◽  
U. S. Mahabaleshwar ◽  
Ioannis E. Sarris
Keyword(s):  
Fluid Flow ◽  
Prandtl Number ◽  
Thermal Radiation ◽  
Biot Number ◽  
Volume Fraction ◽  
Heat Transfer Analysis ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
Graphical Representations ◽  
Analytical Results

In the present paper, an MHD three-dimensional non-Newtonian fluid flow over a porous stretching/shrinking sheet in the presence of mass transpiration and thermal radiation is examined. This problem mainly focusses on an analytical solution; graphene water is immersed in the flow of a fluid to enhance the thermal efficiency. The given non-linear PDEs are mapped into ODEs via suitable transformations, then the solution is obtained in terms of incomplete gamma function. The momentum equation is analyzed, and to derive the mass transpiration analytically, this mass transpiration is used in the heat transfer analysis and to find the analytical results with a Biot number. Physical significance parameters, including volume fraction, skin friction, mass transpiration, and thermal radiation, can be analyzed with the help of graphical representations. We indicate the unique solution at stretching sheet and multiple solution at shrinking sheet. The physical scenario can be understood with the help of different physical parameters, namely a Biot number, magnetic parameter, inverse Darcy number, Prandtl number, and thermal radiation; these physical parameters control the analytical results. Graphene nanoparticles are used to analyze the present study, and the value of the Prandtl number is fixed to 6.2. The graphical representations help to discuss the results of the present work. This problem is used in many industrial applications such as Polymer extrusion, paper production, metal cooling, glass blowing, etc. At the end of this work, we found that the velocity and temperature profile increases with the increasing values of the viscoelastic parameter and solid volume fraction; additionally, efficiency is increased for higher values of thermal radiation.

scholarly journals Impact of chemical reaction, thermal radiation and porosity on free convection Carreau fluid flow towards a stretching cylinder

2021 ◽  
Author(s):  
Yeou Jiann Lim ◽  
Sharidan Shafie ◽  
Sharena Mohamad Isa ◽  
Noraihan Afiqah Rawi ◽  
Ahmad Qushairi Mohamad
Keyword(s):  
Fluid Flow ◽  
Free Convection ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Stretching Cylinder ◽  
Carreau Fluid

scholarly journals Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis

Energies ◽  
2019 ◽  
Vol 12 (24) ◽  
pp. 4617 ◽  
Author(s):  
Liaquat Ali Lund ◽  
Zurni Omar ◽  
Ilyas Khan ◽  
Seifedine Kadry ◽  
Seungmin Rho ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Micropolar Fluid ◽  
Fluid Velocity ◽  
Dual Solutions ◽  
Critical Values ◽  
Partial Slip ◽  
Shrinking Sheet

In this study, first-order slip effect with viscous dissipation and thermal radiation in micropolar fluid on a linear shrinking sheet is considered. Mathematical formulations of the governing equations of the problem have been derived by employing the fundamental laws of conservations which then converted into highly non-linear coupled partial differential equations (PDEs) of boundary layers. Linear transformations are employed to change PDEs into non-dimensional ordinary differential equations (ODEs). The solutions of the resultant ODEs have been obtained by using of numerical method which is presented in the form of shootlib package in MAPLE 2018. The results reveal that there is more than one solution depending upon the values of suction and material parameters. The ranges of dual solutions are S ≥ S c i , i = 0 , 1 , 2 and no solution is S < S c i where S c i is the critical values of S . Critical values have been obtained in the presence of dual solutions and the stability analysis is carried out to identify more stable solutions. Variations of numerous parameters have been also examined by giving tables and graphs. The numerical values have been obtained for the skin friction and local Nusselt number and presented graphically. Further, it is observed that the temperature and thickness of the thermal boundary layer increase when thermal radiation parameter is increased in both solutions. In addition, it is also noticed that the fluid velocity increases in the case of strong magnetic field effect in the second solution.

One-parameter lie scaling study of carreau fluid flow with thermal radiation effects

2021 ◽  
Vol 148 ◽  
pp. 110996
Author(s):  
Musharafa Saleem ◽  
Qasim Ali Chaudhry ◽  
A. Othman Almatroud
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Radiation Effects ◽  
Carreau Fluid

scholarly journals On multiple solutions of non-Newtonian Carreau fluid flow over an inclined shrinking sheet

2018 ◽  
Vol 8 ◽  
pp. 926-932 ◽  
Author(s):  
Masood Khan ◽  
Humara Sardar ◽  
M. Mudassar Gulzar ◽  
Ali Saleh Alshomrani
Keyword(s):  
Fluid Flow ◽  
Multiple Solutions ◽  
Shrinking Sheet ◽  
Carreau Fluid

scholarly journals Double Solutions and Stability Analysis of Micropolar Hybrid Nanofluid with Thermal Radiation Impact on Unsteady Stagnation Point Flow

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 276
Author(s):  
Nur Syazana Anuar ◽  
Norfifah Bachok
Keyword(s):  
Heat Transfer ◽  
Stability Analysis ◽  
Thermal Radiation ◽  
Heat Transfer Rate ◽  
Transfer Rate ◽  
Volume Fraction ◽  
Stable Solution ◽  
Shrinking Sheet ◽  
Hybrid Nanofluid ◽  
Micropolar Nanofluid

The mathematical modeling of unsteady flow of micropolar Cu–Al2O3/water nanofluid driven by a deformable sheet in stagnation region with thermal radiation effect has been explored numerically. To achieve the system of nonlinear ordinary differential equations (ODEs), we have employed some appropriate transformations and solved it numerically using MATLAB software (built-in solver called bvp4c). Influences of relevant parameters on fluid flow and heat transfer characteristic are discussed and presented in graphs. The findings expose that double solutions appear in shrinking sheet case in which eventually contributes to the analysis of stability. The stability analysis therefore confirms that merely the first solution is a stable solution. Addition of nanometer-sized particle (Cu) has been found to significantly strengthen the heat transfer rate of micropolar nanofluid. When the copper nanoparticle volume fraction increased from 0 to 0.01 (1%) in micropolar nanofluid, the heat transfer rate increased roughly to an average of 17.725%. The result also revealed that an upsurge in the unsteady and radiation parameters have been noticed to enhance the local Nusselt number of micropolar hybrid nanofluid. Meanwhile, the occurrence of material parameter conclusively decreases it.

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