每年出版 18 期
ISSN 打印: 1064-2285
ISSN 在线: 2162-6561
Indexed in
Highly Nonlinear Temperature-Dependent Fin Analysis by Variational Iteration Method
摘要
In this research, the variational iteration method as an approximate analytical method is utilized to overcome some inherent limitations arising as uncontrollability to the nonzero endpoint boundary conditions and is used to solve some examples in the field of heat transfer. The available exact solutions for the linear equations and the numerical solutions for the nonlinear ones are good bases to demonstrate the accuracy and efficiency of the proposed method. With the help of the method one can simply analyze the thermal characteristics of a straight rectangular fin for all possible types of heat transfer because of the explicit outputs as the successive approximate solutions.
-
Ganji S.S., Barari A., Najafi M., Domairry G., Analytical evaluation of jamming transition problem, Canadian Journal of Physics, 89, 6, 2011. Crossref
-
Babazadeh H., Domairry G., Barari A., Azami R., Davodi A. G., Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method, Frontiers of Mechanical Engineering, 2011. Crossref
-
Faraz Naeem, Khan Yasir, Jafari Hossein, Yildirim Ahmet, Madani M., Fractional variational iteration method via modified Riemann–Liouville derivative, Journal of King Saud University - Science, 23, 4, 2011. Crossref
-
Ganji S.S., Barari A., Sfahani M.G., Domairry G., Baboli P. Teimourzadeh, Consideration of transient stream/aquifer interaction with the nonlinear Boussinesq equation using HPM, Journal of King Saud University - Science, 23, 2, 2011. Crossref
-
MIRGOLBABAEI H., BARARI A., ISBEN L.B., ESFAHANI M.G., Analytical solution of forced-convective boundary-layer flow over a flat plate, Archives of Civil and Mechanical Engineering, 10, 2, 2010. Crossref
-
Sfahani M. G., Barari A., Ganji S. S., Domairry G., Rokni Houman B., Dynamic response of a beam carrying a lumped mass along its span, The International Journal of Advanced Manufacturing Technology, 64, 9-12, 2013. Crossref
-
Torabi Mohsen, Zhang Qiao bao, Analytical solution for evaluating the thermal performance and efficiency of convective–radiative straight fins with various profiles and considering all non-linearities, Energy Conversion and Management, 66, 2013. Crossref
-
Torabi Mohsen, Yaghoobi Hessameddin, Analytical approaches for thermal analysis of radiative fin with a step change in thickness and variable thermal conductivity, Heat Transfer-Asian Research, 41, 4, 2012. Crossref
-
Torabi Mohsen, Aziz A., Thermal performance and efficiency of convective–radiative T-shaped fins with temperature dependent thermal conductivity, heat transfer coefficient and surface emissivity, International Communications in Heat and Mass Transfer, 39, 8, 2012. Crossref
-
Torabi Mohsen, Yaghoobi Hessameddin, Aziz A., Analytical Solution for Convective–Radiative Continuously Moving Fin with Temperature-Dependent Thermal Conductivity, International Journal of Thermophysics, 33, 5, 2012. Crossref
-
Ghadimi M., Barari A., Kaliji H.D., Domairry G., Periodic solutions for highly nonlinear oscillation systems, Archives of Civil and Mechanical Engineering, 12, 3, 2012. Crossref
-
Lu Bin, The first integral method for some time fractional differential equations, Journal of Mathematical Analysis and Applications, 395, 2, 2012. Crossref
-
Ganaie Ishfaq Ahmad, Arora Shelly, Kukreja V. K., Modelling and Simulation of a Packed Bed of Pulp Fibers Using Mixed Collocation Method, International Journal of Differential Equations, 2013, 2013. Crossref
-
Seyedalizadeh Ganji S. R., Barari A., Karimpour S., Sfahani M. G., Nonlinear oscillation system of mass with serial linear and nonlinear springs, Indian Journal of Physics, 87, 8, 2013. Crossref
-
Kimiaeifar A., Tolou N., Barari A., Herder J.L., Large deflection analysis of cantilever beam under end point and distributed loads, Journal of the Chinese Institute of Engineers, 37, 4, 2014. Crossref
-
Torabi Mohsen, Aziz Abdul, Zhang Kaili, A comparative study of longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with multiple nonlinearities, Energy, 51, 2013. Crossref
-
Wang Jun, Fan Zhi-geng, Hong Xiang, Lu Li-xin, Inner-Resonance Conditions for Honeycomb Paperboard Cushioning Packaging System with Critical Component, Mathematical Problems in Engineering, 2013, 2013. Crossref
-
Torabi Mohsen, Yaghoobi Hessameddin, Accurate Solution for Convective–Radiative Fin with Variable Thermal Conductivity and Nonlinear Boundary Condition by DTM, Arabian Journal for Science and Engineering, 38, 12, 2013. Crossref
-
ELSAYED ASSMA F., BÉG O. ANWAR, NEW COMPUTATIONAL APPROACHES FOR BIOPHYSICAL HEAT TRANSFER IN TISSUE UNDER ULTRASONIC WAVES: THE VARIATIONAL ITERATION AND CHEBYSCHEV SPECTRAL SIMULATIONS, Journal of Mechanics in Medicine and Biology, 14, 03, 2014. Crossref
-
He Yinghui, Zhao Yun-Mei, Long Yao, Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants, Journal of Applied Mathematics, 2014, 2014. Crossref
-
Sonmezoglu Abdullah, Exact Solutions for Some Fractional Differential Equations, Advances in Mathematical Physics, 2015, 2015. Crossref
-
Yépez-Martínez Huitzilin, Sosa Ivan O., Reyes Juan M., Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations, Journal of Applied Mathematics, 2015, 2015. Crossref
-
Sonmezoglu Abdullah, Improved generalized F-expansion method for the time fractional modified KdV(fmKdV) equation, 1738, 2016. Crossref
-
Zayed Elsayed M. E., Amer Yaser A., Al-Nowehy Abdul-Ghani, The modified simple equation method and the multiple exp-function method for solving nonlinear fractional Sharma-Tasso-Olver equation, Acta Mathematicae Applicatae Sinica, English Series, 32, 4, 2016. Crossref
-
Barari A., Rahimi M., Hosseini M.J., Ibsen L.B., Application of the DTM to Nonlinear Cases Arising in Fluid Flows with Variable Viscosity, Acta Physica Polonica A, 122, 1, 2012. Crossref
-
Singh Kuljeet, Das Ranjan, Singla Rohit K, Closed-form solution for a rectangular stepped fin involving all variable thermal parameters and nonlinear boundary conditions, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 231, 5, 2017. Crossref
-
Barari A., Kaliji H.D., Ghadimi M., Domairry G., Non-linear vibration of Euler-Bernoulli beams, Latin American Journal of Solids and Structures, 8, 2, 2011. Crossref
-
Mosayebidorcheh Sobhan, Rahimi-Gorji Mohammad, Ganji D. D., Moayebidorcheh Taha, Pourmehran O., Biglarian M., Transient thermal behavior of radial fins of rectangular, triangular and hyperbolic profiles with temperature-dependent properties using DTM-FDM, Journal of Central South University, 24, 3, 2017. Crossref
-
Babaelahi Mojtaba, Eshraghi Hamed, Optimum analytical design of medical heat sink with convex parabolic fin including variable thermal conductivity and mass transfer, Extreme Mechanics Letters, 15, 2017. Crossref
-
Yang Yujie, Li Yanzhong, Si Biao, Zheng Jieyu, Kang Rui, Analysis of the Fin Performance of Offset Strip Fins Used in Plate-Fin Heat Exchangers, Journal of Heat Transfer, 138, 10, 2016. Crossref
-
Low Ee Soong, Ong Pauline, On the Formulation of Metaheuristic Algorithm-Based Approximation Approach for Nonlinear Ordinary Differential Equations with Application to Heat Exchanger Problem, Pertanika Journal of Science and Technology, 28, 4, 2020. Crossref
-
Zayed Elsayed M.E., Al-Nowehy Abdul-Ghani, The Multiple Exp-Function Method and the Linear Superposition Principle for Solving the (2+1)-Dimensional Calogero–Bogoyavlenskii–Schiff Equation, Zeitschrift für Naturforschung A, 70, 9, 2015. Crossref