APPROXIMATE SOLUTIONS AND CONSERVATION LAWS OF THE PERIODIC BASE TEMPERATURE OF CONVECTIVE LONGITUDINAL FINS IN THERMAL CONDUCTIVITY

被引:2
作者
Aliyu, Aliyu Isa [1 ,2 ]
Inc, Mustafa [1 ]
Yusuf, Abdullahi [1 ,2 ]
Baleanu, Dumitru [3 ,4 ]
机构
[1] Firat Univ, Sci Fac, Fac Sci, Dept Math, Elazig, Turkey
[2] Fed Univ Dutse, Dept Math, Fac Sci, Jigawa, Nigeria
[3] Cankaya Univ, Dept Math, Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
来源
THERMAL SCIENCE | 2019年 / 23卷
关键词
residual power series method; numerical approximations; conservation laws; DOUBLE DECOMPOSITION METHOD; EQUATION;
D O I
10.2298/TSCI181015040A
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, the residual power series method is used to study the numerical approximations of a model of oscillating base temperature processes occurring in a convective rectangular fin with variable thermal conductivity. It is shown that the residual power series method is efficient for examining numerical behavior of non-linear models. Further, the conservation of heat is studied using the multiplier method.
引用
收藏
页码:S267 / S273
页数:7
相关论文
共 33 条
[21]   THE STEFAN PROBLEM WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY AND A CONVECTIVE TERM WITH A CONVECTIVE CONDITION AT THE FIXED FACE [J].
Briozzo, Adriana C. ;
Natale, Maria F. ;
Tarzia, Domingo A. .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (05) :1209-1220
[22]   Conservation laws, periodic and rational solutions for an extended modified Korteweg-de Vries equation [J].
Wang, Xin ;
Zhang, Jianlin ;
Wang, Lei .
NONLINEAR DYNAMICS, 2018, 92 (04) :1507-1516
[23]   On the time-fractional coupled Burger equation: Lie symmetry reductions, approximate solutions and conservation laws [J].
Zhang, Hong-Yi ;
Zhang, Yu-Feng .
WAVES IN RANDOM AND COMPLEX MEDIA, 2022, 32 (05) :2297-2312
[24]   Convergence of approximate solutions of the Cauchy problem for a 2 x 2 nonstrictly hyperbolic system of conservation laws [J].
León, NLE .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 103 (01) :139-144
[25]   Optimization analysis of convective-radiative longitudinal fins with temperature-dependent properties and different section shapes and materials [J].
Mosayebidorcheh, S. ;
Hatami, M. ;
Mosayebidorcheh, T. ;
Ganji, D. D. .
ENERGY CONVERSION AND MANAGEMENT, 2015, 106 :1286-1294
[26]   Invariant analysis, approximate solutions, and conservation laws for the time fractional higher order Boussinesq-Burgers system [J].
Rahioui, Mohamed ;
El Kinani, El Hassan ;
Ouhadan, Abdelaziz .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (11) :9137-9156
[27]   Transient Response of Longitudinal Fins under Step Changes in Base Temperature and Heat Flux using Lattice Boltzmann Method [J].
Sahu, Abhishek ;
Bhowmick, Shubhankar .
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2022, 8 (03) :925-939
[28]   Thermal analysis of a longitudinal trapezoidal fin with temperature-dependent thermal conductivity and heat transfer coefficient [J].
Khani, F. ;
Aziz, Abdul .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (03) :590-601
[29]   Two-Dimensional Turbulent Thermal Free Jet: Conservation Laws, Associated Lie Symmetry and Invariant Solutions [J].
Mubai, Erick ;
Mason, David Paul .
SYMMETRY-BASEL, 2022, 14 (08)
[30]   On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws [J].
Yuan, Qian ;
Yuan, Yuan .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (09) :5140-5155