Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet

In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique.

Evaluation of Boiling Expectation Time in Falling Wavy Liquid Films on Nonsteady Heat Release

Mathematical model which allows to calculate the boiling expectation times in falling wavy liquid films on nonsteady heat release has been developed. The process of wave formation in the falling films of liquid nitrogen has been simulated numerically for different inlet Reynolds numbers. The calculation of boiling expectation time dependency on heat flux density and heater surface inertia rate in conditions of fast heat growing has been done. The satisfactory agreement of numerical simulation results with experimental data in the wide range of heat flux density and different flow rates has been shown