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Homogeneous and Heterogeneous Analysis of Water and Ethylene Glycol Based Cu Nano-particle
Abstract
The flow of heat in water Ethylene glycol (C2H6O2) copper based small size particles between two parallel freezing discs along with homogeneous and heterogeneous reactions are greatly and heavily affected by magnetic field. Here, I have considered Magnetic Hydro Dynamics effect perpendicular to the plane surface, while, bottom disk will be considered to be porous. The basic equations such as Navier-stokes, energy, Homogenous and Heterogonous reactions will be used for constructing mathematical system of equations. The development of the mathematical model will use a cylindrical coordinate system and partial differential equations (PDE'S). On the basis of momentum, energy law and Heterogeneous and Homogenous equations the developed PDE’S are transformed to the system of ordinary differential equations (ODE’s) by suitable transformations for the purpose to introduce some physical parameters of our interest. Graphical Results are obtained for physical quantities such as velocity, skin friction, Nusselt number and for temperature distribution regarding various values of Non-dimensional numbers and for volume fraction of Nano-particles.
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References
Stefan, Josef. "Versuche über die scheinbare Adhäsion." Annalen der Physik 230.2 (1875): 316-318.
Von Kármán, Th. "Uber laminare und turbulente Reibung." Z. Angew. Math. Mech. 1 (1921): 233-252.
Engmann, Jan, Colin Servais, and Adam S. Burbidge. "Squeeze flow theory and applications to rheometry: A review." Journal of non-newtonian fluid mechanics 132.1-3 (2005): 1-27.
Campanella, Osvaldo H., and Micha Peleg. "Squeezing flow viscometry for nonelastic semiliquid foods—theory and applications." Critical Reviews in Food Science and Nutrition 42.3 (2002): 241-264.
Marois, M. A., and M. Lacroix. "Fundamentals of the squeeze-flow between a heat sink and a flip-chip." Transactions of the Canadian Society for Mechanical Engineering 32.3-4 (2008): 467-486.
Hayat, Tasawar, et al. "Flow between two stretchable rotating disks with Cattaneo-Christov heat flux model." Results in physics 7 (2017): 126-133.
Gupta, P. S., and A. S. Gupta. "Squeezing flow between parallel plates." Wear 45.2 (1977): 177-185.
Burbidge, Adam S., and Colin Servais. "Squeeze flows of apparently lubricated thin films." Journal of non-newtonian fluid mechanics 124.1-3 (2004): 115-127.
Khaled, A-RA, and K. Vafai. "Hydromagnetic squeezed flow and heat transfer over a sensor surface." International Journal of Engineering Science 42.5-6 (2004): 509-519.
Butt, Adnan Saeed, and Asif Ali. "Analysis of entropy generation effects in unsteady squeezing flow in a rotating channel with lower stretching permeable wall." Journal of the Taiwan Institute of Chemical Engineers 48 (2015): 8-17.
Domairry, G., and A. Aziz. "Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method." Mathematical Problems in Engineering 2009 (2009).
Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995.
Schlichting, H. "Boundary-Layer Theory 7th edition McGraw-Hill." (1979): 596-600.
Bickerman, J. J. "Development in Theoretical and Applied Mathematics, vol. 3." (1958).
Yao, Donggang, Vinayshankar L. Virupaksha, and Byung Kim. "Study on squeezing flow during nonisothermal embossing of polymer microstructures." Polymer Engineering & Science 45.5 (2005): 652-660.
Grattan-Guinness, Ivor. "Joseph Fourier, Théorie analytique de la chaleur (1822)." Landmark Writings in Western Mathematics 1640-1940. Elsevier Science, 2005. 354-365.
Cattaneo, Carlo. "Sulla conduzione del calore." Atti Sem. Mat. Fis. Univ. Modena 3 (1948): 83-101.
Christov, C. I. "On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conduction." Mechanics Research Communications 36.4 (2009): 481-486.
Ciarletta, M., and B. Straughan. "Uniqueness and structural stability for the Cattaneo–Christov equations." Mechanics Research Communications 37.5 (2010): 445-447.
Haddad, S. A. M. "Thermal instability in Brinkman porous media with Cattaneo–Christov heat flux." International journal of heat and mass transfer 68 (2014): 659-668.
Scott, J. R. "Theory and application of the parallel-plate plastimeter." Trans. Inst. Rubber Ind 7 (1931): 169-186.
Siddiqui, Abdul M., Sania Irum, and Ali R. Ansari. "Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method." Mathematical Modelling and Analysis 13.4 (2008): 565-576.
Stewartson, K. "On the flow between two rotating coaxial disks." Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 49. No. 2. Cambridge University Press, 1953.
Pearson, Carl E. "Numerical solutions for the time-dependent viscous flow between two rotating coaxial disks." Journal of Fluid Mechanics 21.4 (1965): 623-633.
Elkouh, Abdel F. "Laminar flow between porous disks." Journal of the Engineering Mechanics Division 93.4 (1967): 31-38.
Mellor, G. L., P. J. Chapple, and V. K. Stokes. "On the flow between a rotating and a stationary disk." Journal of fluid mechanics 31.1 (1968): 95-112.
Kumar, P. Maninaga, and A. Kavitha. "Three-dimensional flow of Jeffrey fluid between a rotating and stationary disks with suction." Ain Shams Engineering Journal 9.4 (2018): 2351-2356.
Mishra, S. P., B. P. Acharya, and J. Sinha Roy. "Laminar elastico-viscous flow between rotating porous disks." Revue Roumaine des Sciences Techniques Serie de Mecanique Appliquee 20.2 (1975): 257-269.
Nadeem, Sohail, and Noreen Sher Akbar. "Peristaltic flow of a Jeffrey fluid with variable viscosity in an asymmetric channel." Zeitschrift für Naturforschung A 64.11 (2009): 713-722.
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