Efficiency analysis of straight fin with variable heat transfer coefficient and thermal conductivity

Optimum Design and Performance Analyses of Convective-Radiative Cooling Fin under the Influence of Magnetic Field Using Finite Element Method

“…For most industrial applications the heat transfer coefficient may be given as the power law [3,20], where the exponents and ℎ are constants. The constant may vary between −6.6 and 5.…”

“…The development of exact analytical solutions for such nonlinear models is very difficult. Consequently, some of the past studies have developed approximate analytical solution in terms of series solutions for the thermal analyses of fins using different approximate 2 Journal of Optimization analytical methods [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Nevertheless, the series solutions involve large number of terms.…”

Heat transfer study in a convective-radiative fin with temperature-dependent thermal conductivity and magnetic field using variation parameters method

“…Hosseini et al [16] applied the homotopy analysis method to provide approximate but accurate solution of heat transfer in a fin with temperature-dependent internal heat generation and thermal conductivity. Joneidi et al [17], Moradi and Ahmadikia [18] Moradi [19], Mosayebidorcheh et al [20], Ghasemi et al [21], Sandri et al [22], Ganji and Dogonchi [23] presented analytical solution for a fin with temperature dependent thermal coefficient using the differential transform method (DTM). Method of weighted residual are applied by Lederi et al [24] and Sobamowo [25] to the problem.…”

“…Variation parameter method (VPM) is an approximate analytical method which has been applied to solve different linear and nonlinear differential equations [21][22][23][24][25]. It is different from variational iteration method (VIM) in many aspects.…”

Mixed convection on a vertical plate in supercritical fluids by selecting the best equation of state

“…So, all mechanisms that enhance natural or forced convection can enhance mixed convection and vice versa. Using fins and ribs to increase the surface area, ultrasonic vibrating of working fluid, applying electrical field, adding surfactants or nanoparticles to the base fluid and finally, using base fluid in supercritical conditions are the most common methods, which have been used to improve one of the free and forced convection or both of them and finally enhance mixed heat transfer mechanism [2][3][4][5][6][7].…”