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Fazal Haq,Muzher Saleem,Essam Roshdy El-Zahar,Soumaya Gouadria,M. Ijaz Khan 한국자기학회 2021 Journal of Magnetics Vol.26 No.4
In this article modeling and theoretical analysis of magnetized Williamson nanomaterial flow by permeable surface of cylinder is studied. The idea of self-propelled gyrotactic microorganisms is implemented to stabilize the suspended nanoparticles in Williamson liquid. Darcy-Forchheimer together with porosity effects are accounted in the flow. Energy relation is modeled in view of thermal radiation, variable thermal conductivity and Joule heating. Activation energy linked with chemical reaction is executed at the surface. Furthermore, Brownian dispersion and thermophoresis effects are also considered. Flow governing dimensional model is acquired using boundary layer suppositions. Suitable transformations are used to alter the system of PDE’s into non-dimensional. NDSolve code in Mathematica package is utilized to solve the model. Impacts of various flow regulating variables on velocity, temperature, mass concentration and motile density are investigated by plotting. Coefficient of skin friction, Sherwood number, motile density number and heat transfer rate are tabulated and analyzed. It is observed that velocity field decays while temperature field enhances versus rising dimensionless magnetic parameter. Moreover, due to magnetic field more Lorentz force is applied to the flow as a result surface drag force enhances while heat transfer rate decays.
Muzamal Hussain,Humaira Sharif,Mohammad Amien Khadimallah,Hamdi Ayed,Abir Mouldi,Muhammad Naeem Mohsin,Sajjad Hussain,Abdelouahed Tounsi Techno-Press 2024 Advances in nano research Vol.16 No.4
Latest advancement in field of fluid dynamics has taken nanofluid under consideration which shows large thermal conductance and enlarges property of heat transformation in fluids. Motivated by this, the key aim of the current investigation scrutinizes the influence of thermal radiation and magnetohydrodynamic on the laminar flow of an incompressible two-dimensional Williamson nanofluid over an inclined surface in the presence of motile microorganism. In addition, the impact of heat absorption/generation and Arrhenius activation energy is also examined. A mathematical modeled is developed which stimulate the physical flow problem. By using the compatible similarities, we transfer the governing PDEs into ODEs. The analytic approach based on Homotopy analysis method is introduced to impose the analytic solution by using Mathematica software. The impacts of distinct pertinent variable on velocity profiles are investigated through graphs.
Theoretical fabrication of Williamson nanoliquid over a stretchable surface
Sharif, Humaira,Hussain, Muzamal,Khadimallah, Mohamed Amine,Ayed, Hamdi,Taj, Muhammad,Bhutto, Javed Khan,Mahmoud, S.R.,Iqbal, Zafer,Ahmad, Shabbir,Tounsi, Abdelouahed Techno-Press 2022 Advances in concrete construction Vol.14 No.2
On the basis of fabrication, the utilization of nano material in numerous industrial and technological system, obtained the utmost significance in current decade. Therefore, the current investigation presents a theoretical disposition regarding the flow of electric conducting Williamson nanoliquid over a stretchable surface in the presence of the motile microorganism. The impact of thermal radiation and magnetic parameter are incorporated in the energy equation. The concentration field is modified by adding the influence of chemical reaction. Moreover, the splendid features of nanofluid are displayed by utilizing the thermophoresis and Brownian motion aspects. Compatible similarity transformation is imposed on the equations governing the problem to derive the dimensionless ordinary differential equations. The Homotopy analysis method has been implemented to find the analytic solution of the obtained differential equations. The implications of specific parameters on profiles of velocity, temperature, concentration and motile microorganism density are investigated graphically. Moreover, coefficient of skin friction, Nusselt number, Sherwood number and density of motile number are clarified in tabular forms. It is revealed that thermal radiation, thermophoresis and Brownian motion parameters are very effective for improvement of heat transfer. The reported investigation can be used in improving the heat transfer appliances and systems of solar energy.