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"

Part One

The recent heat flow in different operators
A new integral transform method for solving steady heat-transfer problem
Numerical study on film cooling and convective heat transfer characteristics in the cutback region of turbine blade trailing edge
Performance of meta-material thermal concentrator with sensu-shaped structure through entropy generation approach
Schwarz waveform relaxation algorithm for heat equations with distributed delay
Numerical study of unsteady flow and exciting force for swept turbomachinery blades
A new integral transform with an application in heat-transfer problem
Approximate solution of the non-linear diffusion equation of multiple orders
Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
A novel series method for fractional diffusion equation within Caputo fractional derivative
A new numerical method for solving two-dimensional variable-order anomalous sub-diffusion equation
Solving non-local fractical heat equations based on the reproducing kernel method
On steady heat flow problem involving Yang-Srivastava-Machado fractional derivative without singular kernel
A local fractional derivative with applications to fractal relaxation and diffusion phenomena
The integrating factor method for solving the steady heat transfer problems in fractal media
Local fractional Euler's method for the steady heat-conduction problem
Sumudu transform series expansion method for solving the local fractional Laplace equation in fractal thermal problems
The local fractional iteration solution for the diffusion problem in fractal media
Exact solutions for the differential equations in fractal heat transfer
Characteristic equation method for fractal heat-transfer problem via local fractional calculus
On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets
The non-differentiable solution for local fractional Laplace equation in steady heat-conduction problem
A new computational method for fractal heat-diffusion via local fractional derivative
Laplace transform series expansion method for solving the local fractional heat-transfer equation defined on Cantor sets
Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer
Local fractional functional decomposition method for solving local fractional Poisson equation in steady heat-conduction problem
On local fractional Volterra integro-differential equations in fractal steady heat transfer
On local fractional Volterra integral equations in fractal heat transfer

Part Two

The recent fluid flow in different operators
A variational-perturbation method for solving the time-dependent singularly perturbed reaction-diffusion problems
Unsteady flow and load in 50% partial admission control stage with different admitting arc distributions
Optimization on start-up process of high-pressure rotor for large power steam turbine
Study on finite deformation finite element analysis algorithm of turbine blade based on CPU+GPU heterogeneous parallel computation
Some new applications for heat and fluid flows via fractional derivatives without singular kernel
Fractal complex transform technology for fractal Kkorteweg-de Vries equation within a local fractional derivative
About local fractional three-dimensional compressible Navier-Stokes equations in Cantor-type cylindrical co-ordinate system
On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system
The method of separation of variables for local fractional Korteweg-de Vries equation
The local fractional series expansion solution for local fractional Korteweg-de Vries equation
The Laplace series solution for local fractional Korteweg-de Vries equation
Fractional Maxwell fluid with fractional derivative without singular kernel

Part Three

The topics related to the fractal theory, and heat and fluid flow
An efficient optimization method for structures with local non-linearity
Study on vibration characteristics of damping blade with snubber and shroud based on fractal theory
Interfacial surface investigation of super-critical water gasification of corn cob
The conservative difference scheme for the generalized Rosenau-KdV equation
Wellbore stability analysis in chemically active shale formations
Kink degeneracy and rogue potential flow for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation