Abstract
Homotopy Perturbation Method (HPM) has been applied to solve a nonlinear heat transfer problem. Natural convection around an isothermal horizontal cylinder was studied. Heat transfer coefficient and specific heat coefficient were assumed to be dependent on temperature. Outcomes were compared with solution of heat transfer equation with constant properties. Solutions of HPM were compared with numerical results for different cases, and variation of Nusselt number was obtained and investigated.
Highlights
Many familiar heat transfer application involve natural convection as the primary mechanism of heat transfer
The fluid velocities associated with natural convection are low; typically less than 1 m/s the heat transfer coefficient encountered in natural convection are usually much lower than those encountered in forced convection (CHENG, 2009; GANGI; SADIGHI, 2007; JONES et al, 1988)
The local Nusselt number is highest at the bottom and lowest at the top of cylinder when the boundary layer flow remains laminar (BEJAN, 2004)
Summary
Many familiar heat transfer application involve natural convection as the primary mechanism of heat transfer. Studying natural convection that rises in applicable engineering problems, help to manipulate better natural convection as one of the heat transfer mechanism. Cooling cylindrical fin with natural convection is a good application of this heat transfer. The local Nusselt number is highest at the bottom and lowest at the top of cylinder when the boundary layer flow remains laminar (BEJAN, 2004). Most of problems arising in heat transfer area are nonlinear and through the majority of them only a limited numbers of them have exact analytical solution so these nonlinear equations should be solved using other methods. Other methods include numerical and semi exact methods, scientists believe that the combination of these two methods can be more cost effective method and lead to useful results
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