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Jet with variable fluid properties: Free jet and dissipative jet
Institution:1. Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat 395001, Gujarat, India;2. Department of Mathematics, Veer Narmad South Gujarat University, Magdalla Road, Surat 395007, Gujarat, India;1. Geospace Physics Laboratory, NASA Goddard Space Flight Center, Greenbelt, MD, 20771, USA;2. Dept. of Physics, Catholic University of America, Washington, DC, 20064, USA;3. Dept. of Astronomy, University of Maryland, College Park, MD, 20742, USA;4. Aurora Engineering LLC, Orono, ME, 04473, USA;5. College of Engineering & Applied Science, University of Colorado, Boulder, CO, 80309, USA;6. Denali Scientific LLC, Healy, AK, 99743, USA;7. Geophysical Institute, University of Alaska Fairbanks, Fairbanks, AK, 33181, USA
Abstract:An analysis of the laminar jet of an incompressible Newtonian fluid emerging from a narrow slot or a circular hole, where the physical properties like viscosity and thermal conductivity depends upon the temperature, is given. Both the cases: the case of In the absence of viscous heat dissipation and the case of In the presence of viscous heat dissipation are considered. The governing partial differential equations of the flow problem are transformed into the ordinary differential equations by group theoretic technique. The Runge–Kutta method is applied to obtained numerical solution of the transformed ordinary differential equations.
Keywords:Jet flow  Thermal conductivity  Heat dissipation  Newtonian fluid  Non-homogeneous BVP  Runge–Kutta method
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