New trends of fractional modeling and heat and mass transfer investigation of (SWCNTs and MWCNTs)-CMC based nanofluids flow over inclined plate with generalized boundary conditions |
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| Institution: | 1. Department of Mathematics, University of Management and Technology, Lahore, 54770 Pakistan;2. Institute of IR 4.0, National University of Malaysia, UKM Bangi 43600, Selangor, Malaysia;3. Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey;4. Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, Reggio Calabria, Italy;1. College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia;2. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia;3. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915 Vietnam;4. Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz, University, Wadi Al-Dawaser 11991, Saudi Arabia;1. Department of Mathematics, University of Management and Technology, Lahore, 54770 Pakistan;2. Department of Mathematics, Comsats University Islamabad, Lahore Campus, 54000 Pakistan;3. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, 72915 Vietnam;1. FAST, University Tun Hussein Onn Malaysia, 86400, Parit Raja, Batu Pahat, Johor State, Malaysia;2. Public Authority of Applied Education and Training, College of Technological Studies, Applied Science Department, Shuwaikh, Kuwait;3. Department of Mathematics, Lahore Leads University, Lahore, Pakistan;4. Department of Mathematics, Islamia College University Peshawar Khyber Pakhtunkhwa, Pakistan;5. Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria;6. Faculty of Medicine and Health Science, Ghent University, Gent 9000, Belgium;7. Department of Mechanical and Industrial Engineering, College of Engineering, Majmaah University, Al-Majmaah 11952, Saudi Arabia;1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;3. School of Sciences, Hebei United University, Hebei, Tangshan 063000, China;4. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia |
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| Abstract: | In this paper, we have considered unsteady MHD viscous fluid flow of Carboxyl methyl cellulose (CMC) as based fluid and Carbon nanotubes CNTs (SWCNTs, MWCNTs) nanoparticles passing through an inclined plate of infinite length. Furthermore, the effects of heat source, chemical reaction, porosity and MHD are considered. Fractional model is developed by Caputo time fractional derivatives though recent trends of fractional modeling. The semi exact solutions are obtained for the governing equations in dimensionless form by Laplace transform method. Influence of fractional and other flow parameters on temperature, concentration and velocity fields are graphically illustrated. The Nusselt number, Sherwood number and skin friction are computed for fixed values of flow parameters and presented in tabular form. As a result, for larger values of fractional parameters temperature, concentration and velocity fields can be enhanced. A comparison has been drawn between SWCTs-CMC and MWCTs-CMC based nanofluids and found that MWCTs based nanofluids are more efficient in heat transfer than SWCTs-CMC based nanofluids. Further, in the absence of nanoparticles the obtained results are reduced to recently published results and this fact have been proved graphically and they are in good agreement. |
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