Magnetohydrodynamic flow of Maxwell nanofluid with binary chemical reaction and Arrhenius activation energy
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ORIGINAL ARTICLE
Magnetohydrodynamic flow of Maxwell nanofluid with binary chemical reaction and Arrhenius activation energy Madiha Rashid1 · Ahmed Alsaedi2 · Tasawar Hayat1,2 · Bashir Ahmed2 Received: 4 January 2019 / Accepted: 19 August 2019 © King Abdulaziz City for Science and Technology 2019
Abstract The present paper addresses magnetohydrodynamics flow of Maxwell nanofluid due to stretching cylinder. To visualize the stimulus of Brownian movement and thermophoresis phenomena on Maxwell nanofluid, Buongiorno’s relation has been accounted. Moreover, heat source/sink, thermal radiation and convective condition are also attended. Mass transfer is studied by taking activation energy along with binary chemical reaction. Homotopic algorithm is adopted for the computational process of nonlinear differential systems. Five quantities, namely velocity, temperature, concentration and local Nusselt and Sherwood numbers are discussed. It is concluded that curvature parameter enhances for velocity, temperature and concentration fields. Temperature of fluid rises for radiation parameter and thermal Biot number. Clearly concentration of nanoparticles enhances with activation energy while it reduces with chemical reaction parameter. Heat transfer enhances while mass transfer rate reduces for Brownian movement and thermophoresis parameter. Keywords Maxwell nanofluid · Chemical reaction · Convective condition · Thermal radiation · MHD (Magnetohydrodynamics) · Joule heating · Activation energy
Introduction Convection heat transfer exists in many industrial or cooling equipment, where the heat transfer medium such as water, oil, ethylene/propylene glycol as the conventional fluids have been widely used. However, their limited thermal conductivity limits their convection heat transfer rate. In the recent past, nanofluids with amazing physical capabilities are utilized in many industrial and mechanical engineering processes such as optical grating, refrigeration, fuel cell optical modulator, medicine transportation, space exploration and thermal properties of engine oil. Additionally, the behavior of nanoparticles in diverse models is discussed extensively in the literature (see Choi and Eastman 1995; Sheikholeslami et al. 2017; Khan et al. 2017a; Hayat et al. * Madiha Rashid [email protected] 1
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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2018; Daniel et al. 2018; Ahmadi and Willing 2018 and some references therein). Many biological fluids such as foodstuff, detergents and egg white modify their flow characteristics subjected to shear stress. Liquids such as Maxwell, Oldroyd-B, Jeffrey and Sisko are characterized as nonNewtonian materials. Flow of Maxwell fluid on suddenly moved plate is discussed by Hayat et al. (2008). Sajid et al. (2017) computed flow of upper convected Maxwell fluid with joule heating ef
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