scholarly journals Dual solutions for MHD flow of a water-based TiO2-Cu hybrid nanofluid over a continuously moving thin needle in presence of thermal radiation

2021 ◽  
Vol 2 (1) ◽  
pp. 31-40
Author(s):  
Seyed Mehdi Mousavi ◽  
◽  
Mohammadreza Nademi Rostami ◽  
Mohammad Yousefi ◽  
Saeed Dinarvand ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Velocity Ratio ◽  
Mhd Flow ◽  
Transformation Method ◽  
Similarity Solutions ◽  
Hybrid Nanofluid ◽  
Flow And Heat Transfer ◽  
Fiber Technology ◽  
Linear Odes ◽  
Thermal Radiation Effect

In this analysis, the flow and heat transfer characteristics of an aqueous hybrid nanofluid with TiO2 and Cu as the nanoparticles past a horizontal slim needle in the presence of thermal radiation effect is investigated. We hope that the present research is applicable in fiber technology, polymer ejection, blood flow, etc. The Prandtl number of the base fluid is kept constant at 6.2. The needle is considered thin when its thickness does not exceed that of the boundary layer over it. Using the similarity transformation method, the governing PDEs are transformed to a set of non-linear ODEs. Then, the converted ODEs are numerically solved with help of bvp4c routine from MATLAB. Results indicate that the dual similarity solutions are obtained only when the slim needle moves in the opposite direction of the free stream. In addition, the first solutions are stable and physically realizable. Besides, the second nanoparticle's mass and also the magnetic parameter lead to decrease the range of the velocity ratio parameter for which the solution exists.

Thermal radiation effect on MHD flow and heat transfer of Williamson nanofluids over a stretching sheet with Newtonian heating

2017 ◽  
Author(s):  
Kho Yap Bing ◽  
Abid Hussanan ◽  
Muhammad Khairul Anuar Mohamed ◽  
Norhafizah Mohd Sarif ◽  
Zulkhibri Ismail ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Radiation Effect ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Newtonian Heating ◽  
Flow And Heat Transfer ◽  
Thermal Radiation Effect

MHD flow of MgO-Ag/water hybrid nanofluid past a moving slim needle considering dual solutions: an applicable model for hot-wire anemometer analysis

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Saeed Dinarvand ◽  
Seyed Mehdi Mousavi ◽  
Mohammad Yousefi ◽  
Mohammadreza Nademi Rostami
Keyword(s):  
Magnetic Parameter ◽  
Solid Phase ◽  
Velocity Ratio ◽  
Mhd Flow ◽  
Fluid Phase ◽  
Transformation Method ◽  
Dual Solutions ◽  
Hybrid Nanofluid ◽  
Hot Wire ◽  
Content Type

Purpose The purpose of this paper is to study the steady laminar magnetohydrodynamics (MHD) flow of a magnesium oxide-silver/water hybrid nanofluid along a horizontal slim needle with thermal radiation by considering dual solutions. Design/methodology/approach It is assumed that the needle can move in the same or opposite direction of the free stream. Also the solid phase and fluid phase are in thermal equilibrium. The basic partial differential equations become dimensionless using a similarity transformation method. Moreover, problem coding is accomplished using the finite difference method. The emerging parameters are nanoparticles mass (0–40 gr), base fluid mass (100 gr), needle’s size (0.001–0.2), magnetic field parameter, velocity ratio parameter, radiation parameter and Prandtl number (6.2). Findings With help of the stability analysis, it is shown that always the first solutions are physically stable. Results indicate that the magnetic parameter and the second nanoparticle’s mass limit the range of the velocity ratio parameter for which the solution exists. Besides, the magnetic parameter leads to decrease of quantities of engineering interest, i.e. skin friction coefficient and local Nusselt number. Originality/value To the best of the authors’ knowledge, no one has ever attempted to study the present problem through a mass-based model for hybrid nanofluid. Moreover, the dual solutions for the problem are new. Indeed, the results of this paper are purely original and the numerical achievements were never published up to now. Finally, the authors expect that the present investigation would be useful in hot-wire anemometer or shielded thermocouple for measuring the velocity of the wind, etc.

MHD flow and heat transfer of hybrid nanofluid over a permeable moving surface in the presence of thermal radiation

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Nurul Amira Zainal ◽  
Roslinda Nazar ◽  
Kohilavani Naganthran ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Stability Analysis ◽  
Thermal Radiation ◽  
Mhd Flow ◽  
Heat Transfer Analysis ◽  
Problem Solver ◽  
Hybrid Nanofluid ◽  
Moving Surface ◽  
Content Type ◽  
Flow And Heat Transfer

Purpose This paper aims to investigate the flow and heat transfer characteristics of a hybrid nanofluid (Cu-Al2O3/water) in the presence of magnetohydrodynamics and thermal radiation over a permeable moving surface. Design/methodology/approach By choosing appropriate similarity variables, the partial differential equations are transformed into a system of linear equations which are solved by using the boundary value problem solver (bvp4c) in MATLAB. The implementation of stability analysis verifies the achievable result of the first solution which is considered stable while the second solution is unstable. Findings The findings revealed that the presence of a magnetic field and suction slows down the fluid motion because of the synchronism of the magnetic and electric field occurred from the formation of the Lorentz force. Also, the enhancement of the thermal radiation parameter escalates the heat transfer rate of the current study. Originality/value The present study is addressing the problem of MHD flow and heat transfer analysis of a hybrid nanofluid towards a permeable moving surface, with the consideration of the thermal radiation effect. The authors show that in both cases of assisting and opposing flow, there exist dual solutions within a specific range of the moving parameters. A stability analysis approved that only one of the solutions are physically relevant.

scholarly journals Nonlinear Thermal Radiation and Chemical Reaction Effects on a (Cu−CuO)/NaAlg Hybrid Nanofluid Flow Past a Stretching Curved Surface

Processes ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 962 ◽  
Author(s):  
Naveed Ahmed ◽  
Fitnat Saba ◽  
Umar Khan ◽  
Syed Tauseef Mohyud-Din ◽  
El-Sayed M. Sherif ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Hybrid Nanofluid ◽  
Nonlinear Thermal Radiation ◽  
Nonlinear Odes ◽  
Flow And Heat Transfer ◽  
Governing System ◽  
Bruggeman Model ◽  
Heat Transport Properties ◽  
Layer Flow

The boundary layer flow of sodium alginate ( NaAlg ) based ( Cu − CuO ) hybrid nanofluid, over a curved expanding surface, has been investigated. Heat and mass transport phenomena have also been analyzed. Moreover, the impacts of chemical reaction, magnetic field and nonlinear thermal radiation are also a part of this study. This arrangement has great practical relevance, especially in the polymer and chemical industries. We have extended the Bruggeman model to make it capable of capturing the thermal conductivity of ( Cu − CuO ) / NaAlg hybrid nanofluid. We have employed some suitable transformations to obtain the governing system of nonlinear ODEs. Runge − Kutta − Fehlberg algorithm, accompanied by a shooting technique, has been employed to solve the governing system numerically. The changes in the flow and heat transfer distribution, due to various parameters, have been captured and portrayed in the form of graphs. It has been found that the addition of the nanometer-sized materials, significantly boosts the thermal and heat transport properties of the host fluid, and these phenomena seem to be more prominent, in the case of ( Cu − CuO ) / NaAlg hybrid nanofluid.

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