MIXED PSEUDOSPECTRAL METHOD FOR HEAT TRANSFER

A Pseudospectral Method with Edge Detection Free Postprocessing for 2d Hyperbolic Heat Transfer∗

Under the governing equations of Hyperbolic Heat Transfer thermal disturbances travel with a finite speed of propagation and are visible as sharp discontinuities in the solution profiles. Due to the well-known Gibbs phenomenon, the numerical solution of hyperbolic heat transfer problems by high order numerical methods such as pseudospectral methods will feature non-physical numerical oscillatio...

Molecular Dynamics Method for Microscale Heat Transfer

Heat-balance Integral Method for Heat Transfer in Superfluid Helium

The heat-bal ance in te gral method is used to solve the non-lin ear heat dif fu sion equa tion in static tur bu lent superfluid he lium (He II). Al though this is an ap prox i mate method, it has proven that it gives so lu tions with fairly good ac cu racy in non-lin ear fluid dy nam ics and heat trans fer. Us ing this method, it has been pos si ble to de velop pre dic tive so lu tions that re...

Nanofluids for Heat Transfer Enhancement – A Review

A nanofluid is a dilute liquid suspension of particles with at least one critical dimension smaller than ~100 nm. Research works so far suggest that nanofluids offer excellent heat transfer enhancement over conventional base fluids. The enhancement depends on several factors such as particle shape, particle size distribution, volume fraction of nanoparticles, temperature, pH, and thermal conduc...

Sparse pseudospectral approximation method

Multivariate global polynomial approximations – such as polynomial chaos or stochastic collocation methods – are now in widespread use for sensitivity analysis and uncertainty quantification. The pseudospectral variety of these methods uses a numerical integration rule to approximate the Fourier-type coefficients of a truncated expansion in orthogonal polynomials. For problems in more than two ...