THERMAL SCIENCE

International Scientific Journal

Thermal Science Archive volume 20, year 2016, Supplement 3

Special issue: Modern Mathematical Problems in Heat and Fluid Flow (45 papers)

From the Guest editors

Introductory words from the guest editors on the special issue "Modern Mathematical Problems in Heat and Fluid Flow"
Xiao-Jun Yang,
Carlo Cattani,
Amar Debbouche
From the Guest Editors
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Part One

The recent heat flow in different operators
Xiao-Jun Yang
A new integral transform method for solving steady heat-transfer problem
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Yong-Hui Xie,
Dong-Ting Ye,
Zhong-Yang Shen
Numerical study on film cooling and convective heat transfer characteristics in the cutback region of turbine blade trailing edge
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Jiao-Long Wang,
Hao-Chun Zhang,
Chao Ma,
Cheng-Shuai Su,
Han Shen,
Gong-Nan Xie
Performance of meta-material thermal concentrator with sensu-shaped structure through entropy generation approach
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Shu-Lin Wu
Schwarz waveform relaxation algorithm for heat equations with distributed delay
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Di Zhang,
Jiao-Bin Ma,
Qi Jing
Numerical study of unsteady flow and exciting force for swept turbomachinery blades
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Xiao-Jun Yang
A new integral transform with an application in heat-transfer problem
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Fei Wu,
Xiao-Jun Yang
Approximate solution of the non-linear diffusion equation of multiple orders
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Sheng Zhang,
Ran Zhu,
Luyao Zhang
Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
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Sheng-Ping Yan,
Wei-Ping Zhong,
Xiao-Jun Yang
A novel series method for fractional diffusion equation within Caputo fractional derivative
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Wei Jiang,
Beibei Guo
A new numerical method for solving two-dimensional variable-order anomalous sub-diffusion equation
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Xiuying Li,
Boying Wu
Solving non-local fractical heat equations based on the reproducing kernel method
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Ai-Min Yang,
Yang Han,
Jie Li,
Wei-Xing Liu
On steady heat flow problem involving Yang-Srivastava-Machado fractional derivative without singular kernel
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Yang Zhao,
Yan-Guang Cai,
Xiao-Jun Yang
A local fractional derivative with applications to fractal relaxation and diffusion phenomena
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Shan-Xiong Chen,
Zhi-Hao Tang,
Hai-Ning Wang
The integrating factor method for solving the steady heat transfer problems in fractal media
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Feng Gao,
Xiao-Jun Yang
Local fractional Euler's method for the steady heat-conduction problem
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Zheng-Hong Guo,
Omer Acan,
Sunil Kumar
Sumudu transform series expansion method for solving the local fractional Laplace equation in fractal thermal problems
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Ya-Juan Hao,
Ai-Min Yang
The local fractional iteration solution for the diffusion problem in fractal media
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Chun-Yu Yang,
Yu-Dong Zhang,
Xiao-Jun Yang
Exact solutions for the differential equations in fractal heat transfer
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Geng-Yuan Liu
Characteristic equation method for fractal heat-transfer problem via local fractional calculus
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Xiao-Jun Yang,
Zhi-Zhen Zhang,
J A Tenreiro Machado,
Dumitru Baleanu
On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets
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Jie-Dong Chen,
Hua-Ping Li
The non-differentiable solution for local fractional Laplace equation in steady heat-conduction problem
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Geng-Yuan Liu
A new computational method for fractal heat-diffusion via local fractional derivative
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Huan Sun,
Xing-Hua Liu
Laplace transform series expansion method for solving the local fractional heat-transfer equation defined on Cantor sets
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Zhi-Jun Meng,
Yao-Ming Zhou,
Huan-Qing Wang
Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer
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Xiao-Ying Wang
Local fractional functional decomposition method for solving local fractional Poisson equation in steady heat-conduction problem
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Ai-Min Yang,
Yang Han,
Yu-Zhu Zhang,
Li-Ting Wang,
Di Zhang,
Xiao-Jun Yang
On local fractional Volterra integro-differential equations in fractal steady heat transfer
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Zhong-Hua Wu,
Amar Debbouche,
Juan L.G Guirao,
Xiao-Jun Yang
On local fractional Volterra integral equations in fractal heat transfer
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Part Two

The recent fluid flow in different operators
Guanglu Zhou,
Boying Wu
A variational-perturbation method for solving the time-dependent singularly perturbed reaction-diffusion problems
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Ke-Ke Gao,
Shun-Sen Wang,
Dong-Bo Shi
Unsteady flow and load in 50% partial admission control stage with different admitting arc distributions
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Qiu-Wan Du,
Zhao-Li Zheng,
Yong-Hui Xie
Optimization on start-up process of high-pressure rotor for large power steam turbine
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Tian-Yuan Liu,
Hao Dang,
Yong-Hui Xie
Study on finite deformation finite element analysis algorithm of turbine blade based on CPU+GPU heterogeneous parallel computation
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Xiao-Jun Yang,
Zhi-Zhen Zhang,
Hari Mohan SrivastavaORCID
Some new applications for heat and fluid flows via fractional derivatives without singular kernel
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Jinze Xu,
Zeng-Shun Chen,
Jian-Hong Wang,
Ping Cui,
Yunru Bai
Fractal complex transform technology for fractal Kkorteweg-de Vries equation within a local fractional derivative
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Guo-Ping Gao,
Carlo Cattani,
Xiao-Jun Yang
About local fractional three-dimensional compressible Navier-Stokes equations in Cantor-type cylindrical co-ordinate system
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Zhi-Jun Meng,
Yao-Ming Zhou,
Dong-Mu Mei
On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system
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Jia-Yu Zhuang,
Peng Qiao,
Zhe-Min Li
The method of separation of variables for local fractional Korteweg-de Vries equation
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Wei Zhang,
Kai-Li Xu,
Yun Lei
The local fractional series expansion solution for local fractional Korteweg-de Vries equation
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Shan-Shan Ye,
Syed Tauseef Mohyud-Din,
Fethi Bin Muhammad Belgacem
The Laplace series solution for local fractional Korteweg-de Vries equation
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Feng Gao,
Xiao-Jun Yang
Fractional Maxwell fluid with fractional derivative without singular kernel
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Part Three

The topics related to the fractal theory, and heat and fluid flow
Zhao-Li Zheng,
Yu-Qi Wang,
Di Zhang
An efficient optimization method for structures with local non-linearity
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Wei Zhao,
Liang-Liang Li,
Di Zhang
Study on vibration characteristics of damping blade with snubber and shroud based on fractal theory
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Hui Jin,
Zhen-Qun Wu,
Xiao-Hui Su,
Lie-Jin Guo,
Xing-Xing Song
Interfacial surface investigation of super-critical water gasification of corn cob
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Jun Zhou,
Maobo Zheng,
Ren-Xiu Jiang
The conservative difference scheme for the generalized Rosenau-KdV equation
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Xiang-Chao Shi,
Xu Yang,
Ying-Feng Meng,
Gao Li
Wellbore stability analysis in chemically active shale formations
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Han-Lin Chen,
Zhen-Hui Xu,
Zheng-De Dai
Kink degeneracy and rogue potential flow for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
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