Natural Convective Flow Analysis For Nanofluids With Reynold,s Model of Viscosity
-
Noreen Sher Akbar
and
Zafar Hayat Khan
Abstract
In this article, we have considered an incompressible nanofluids flow and studied the effects of variable viscosity in the form of a well-known Reynold’s model of viscosity in an asymmetric channel. The fluid viscosity is assumed to vary as an exponential function of temperature. The governing fundamental equations are approximated under the assumption of long wavelength and low Reynold,s number. The governing momentum and energy and nanoparticle equations are solved using shooting technique to obtain the expressions for stream functions, pressure rise temperature and nanoparticle concentration field. Trapping phenomena are also discussed at the end of the article to see the behaviour of different parameters on streamlines. It is analyzed that the pressure rise and amount of flow rate are charitable conflicting consequences. It is analyzed that the temperature profile increases with the increase in Prandtl parameter Pr, the Brownian motion parameter
References
1. Agbaje, T.M., Mondal, S., Makukula, Z.G., Motsa, S.S. and Sibanda, P., 2016. A new numerical approach to MHD stagnation point flow and heat transfer towards a stretching sheet. Ain Shams Engineering Journal (in press).10.1016/j.asej.2015.10.015Search in Google Scholar
2. Akbar, N.S., 2014. MHD peristaltic flow of a nanofluid with Newtonian heating. Current Nanoscience 10, 863–868.10.2174/1573413709666131231233057Search in Google Scholar
3. Akbar, N.S., 2014c. Peristaltic flow of tangent hyperbolic fluid with convective boundary condition. The European Physical Journal 129, 214.10.1140/epjp/i2014-14214-0Search in Google Scholar
4. Bugliarello, G., Sevilla, J., 1970. Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes. Biorheology 7, 85–107.10.3233/BIR-1970-7202Search in Google Scholar PubMed
5. Choi, S.U.S., 2009. Nanofluids: From vision to reality through research. Journal of Heat Transfer 131, 1–9.10.1115/1.3056479Search in Google Scholar
6. Choi, S.U.S., Eastman, J.A., 1995. Enhancing thermal conductivity of fluids with nanoparticles. The Proceedings of the ASME International Mechanical Engineering Congress and Exposition, ASME, San Francisco 66, 99–105.Search in Google Scholar
7. Coleman, B.D., Markovitz, H., Noll, W., 1996. Viscometer Flows of Non-Newtonian Fluid. Springer Verlag, Berlin.Search in Google Scholar
8. Dehghan, M., Shakeri, F., 2009. The numerical solution of second Painlev´e equation. Numerical Methods for Partial Differential Equations 25, 1238–1259.10.1002/num.20416Search in Google Scholar
9. Ebaid, A., 2008. Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel. Physics Letters A 372, 4586–4591.10.1016/j.physleta.2008.04.031Search in Google Scholar
10. Gold Smith, H.L., Skalak, R., 1975. Hemodynamics. Annual Review of Fluid Mechanics 7, 213–247.10.1146/annurev.fl.07.010175.001241Search in Google Scholar
11. Hameed, M., Nadeem, S., 2007. Unsteady MHD flow of a non- Newtonian fluid on a porous plate. Journal of Mathematical Analysis and Applications 325, 724–733.10.1016/j.jmaa.2006.02.002Search in Google Scholar
12. Haroun, N.A.H., Mondal, S., Sibanda, P., 2015. Unsteady natural convective boundary-layer flow of MHD nanofluid over a stretching surfaces with chemical reaction using the spectral relaxation method: A revised model. Procedia Engineering 127, 18–24.10.1016/j.proeng.2015.11.317Search in Google Scholar
13. Haroun, N.A., Sibanda, P., Mondal, S., Motsa, S.S., 2015. On unsteady MHD mixed convection in a nanofluid Due To a stretching/shrinking surface with suction/injection using the spectral relaxation method. Boundary Value Problems 24, 1–17.10.1186/s13661-015-0289-5Search in Google Scholar
14. Haroun, N.A.H., Sibanda, P., Mondal, S., Motsa, S.S., Rashidi, M.M., 2015. Heat and mass transfer of nanofluid through an impulsively vertical stretching surface using the spectral relaxation method. Boundary Value Problems 161, 1–16.10.1186/s13661-015-0424-3Search in Google Scholar
15. Haynes, R.H., 1960. Physical basis of the dependence of blood viscosity on tube radius. American Physiological Society 198, 1193–1200.10.1152/ajplegacy.1960.198.6.1193Search in Google Scholar PubMed
16. Khanafer, K., Vafai, K., 2011. A critical synthesis of thermophysical characteristics of nanofluids. International Journal of Heat and Mass Transfer 54, 4410–4428.10.1201/9781315163574-12Search in Google Scholar
17. Mahomed, F.M., Hayat, T., 2007. Note on an exact solution for the pipe flow of a third grade fluid. Acta Mechanica 190,233–236.10.1007/s00707-006-0428-2Search in Google Scholar
18. Malik, M.Y., Hussain, A., Nadeem, S., 2011. Flow of a Jeffrey-six constant fluid between coaxial cylinders with heat transfer. Communications in Theoretical Physics 56,345–351.10.1088/0253-6102/56/2/27Search in Google Scholar
19. Mondal, S., Haroun, N.A.H., Sibanda, P., 2015. The effects of thermal radiation on an unsteady MHD axisymmetric stagnation- point flow over a shrinking sheet in presence of temperature dependent thermal conductivity with Navier slip. PLOS One. 10(9), e0138355. doi:10.1371/journal.pone.0138355.Search in Google Scholar PubMed PubMed Central
20. Nadeem, S., Akbar, N.S., 2008. Effect of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of adomian decomposition method. Communications in Nonlinear Science and Numerical Simulation 14, 3844–3855.10.1016/j.cnsns.2008.09.010Search in Google Scholar
21. Nadeem, S., Akbar, N.S., 2009. Effects of heat transfer on the peristaltic transport of MHD Newtonian fluid with variable viscosity: Application of adomian decomposition method. Communications in Nonlinear Science and Numerical Simulation 14, 3844–3855.10.1016/j.cnsns.2008.09.010Search in Google Scholar
22. Nadeem, S., Akbar, N.S., 2010. Series solutions for the peristaltic flow of a tangent hyperbolic fluid in a uniform inclined tube. Zeitschrift für Naturforschung 65a, 887–895.10.1515/zna-2010-1101Search in Google Scholar
23. Ray Mahapatra, T., Mondal, S., Pal, D., 2012. Heat transfer due to magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface in presence of thermal radiation and suction/injection. ISRN Thermodynamics, 1–9. Article ID 465864.10.5402/2012/465864Search in Google Scholar
24. Vander, A.J., Sherman, J.H., Luciano, D., 1975. Human Physiology: The Mechanism of Body Function. Tata McGraw-Hill Publishing, New Delhi.Search in Google Scholar
25. Wong, K.V., Leon, O., 2010. Applications of nanofluids: Current and future. Advances in Mechanical Engineering 2010, 1–11.10.1201/9781315163574-6Search in Google Scholar
©2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Catalytic Activity of Bimetallic Cu-Ag/MgO-SiO2 Toward the Conversion of Ethanol to 1,3-Butadiene
- Heat Transfer Studies in Ejector-induced Downflow Bubble Column
- Experimental Study on Atomizing and Reaction Performance of Pressure Swirl Nozzles in Ethoxylation Reactor
- Study of the Hydrodynamics and Mass Transfer Coefficient in a 2D Mimicked FT Slurry Bubble Columns for Alternative Clean Energy and Chemical Production
- Simultaneous Removal of Organic and Inorganic Pollutants From Landfill Leachate Using Sea Mango Derived Activated Carbon via Microwave Induced Activation
- Computational Fluid Dynamics Simulations of Lean Premixed Methane-Air Flame in a Micro-Channel Reactor Using Different Chemical Kinetics
- Membrane Aerated Biofilm Reactors for Thermomechanical Pulping Pressate Treatment
- Mixing of Shear Thinning Fluids in Cylindrical Tanks: Effect of the Impeller Blade Design and Operating Conditions
- Influence of Support Structural Characteristics on Long-term Performance of Pd-Ag/α-Al2O3 Catalyst for Tail-end Acetylene Selective Hydrogenation
- Investigation of Key Factors and Their Interactions in MTO Reaction by Statistical Design of Experiments
- Hydrogen Production via Glycerol Reforming over Pt/SiO2 Nanocatalyst in a Spiral-Shaped Microchannel Reactor
- Experimental Design-Assisted Investigation of Light Olefins Production Over Ceria-Altered HZSM-5 Catalysts by Naphtha Catalytic Steam Cracking
- Investigation of α-Amylase Production with Bacillus amyloliquefaciens in a Cocurrent Downflow Contacting Reactor
- Gaseous Hydrocarbon Synfuels from Renewable Electricity via H2/CO2-Flexibility of Fixed-Bed Catalytic Reactors
- Natural Convective Flow Analysis For Nanofluids With Reynold,s Model of Viscosity
Articles in the same Issue
- Frontmatter
- Catalytic Activity of Bimetallic Cu-Ag/MgO-SiO2 Toward the Conversion of Ethanol to 1,3-Butadiene
- Heat Transfer Studies in Ejector-induced Downflow Bubble Column
- Experimental Study on Atomizing and Reaction Performance of Pressure Swirl Nozzles in Ethoxylation Reactor
- Study of the Hydrodynamics and Mass Transfer Coefficient in a 2D Mimicked FT Slurry Bubble Columns for Alternative Clean Energy and Chemical Production
- Simultaneous Removal of Organic and Inorganic Pollutants From Landfill Leachate Using Sea Mango Derived Activated Carbon via Microwave Induced Activation
- Computational Fluid Dynamics Simulations of Lean Premixed Methane-Air Flame in a Micro-Channel Reactor Using Different Chemical Kinetics
- Membrane Aerated Biofilm Reactors for Thermomechanical Pulping Pressate Treatment
- Mixing of Shear Thinning Fluids in Cylindrical Tanks: Effect of the Impeller Blade Design and Operating Conditions
- Influence of Support Structural Characteristics on Long-term Performance of Pd-Ag/α-Al2O3 Catalyst for Tail-end Acetylene Selective Hydrogenation
- Investigation of Key Factors and Their Interactions in MTO Reaction by Statistical Design of Experiments
- Hydrogen Production via Glycerol Reforming over Pt/SiO2 Nanocatalyst in a Spiral-Shaped Microchannel Reactor
- Experimental Design-Assisted Investigation of Light Olefins Production Over Ceria-Altered HZSM-5 Catalysts by Naphtha Catalytic Steam Cracking
- Investigation of α-Amylase Production with Bacillus amyloliquefaciens in a Cocurrent Downflow Contacting Reactor
- Gaseous Hydrocarbon Synfuels from Renewable Electricity via H2/CO2-Flexibility of Fixed-Bed Catalytic Reactors
- Natural Convective Flow Analysis For Nanofluids With Reynold,s Model of Viscosity
