Measurement of Axial Effective Diffusivity in Oscillatory Pipe Flow by Laplace Transform Method.

Effective Diffusivity in Baroclinic Flow

Large-scale chaotic stirring stretches tracer contours into filaments containing fine spatial scales until smallscale diffusive processes dissipate tracer variance. Quantification of tracer transport in such circumstances is possible through the use of Nakamura’s ‘‘effective diffusivity’’ diagnostics, which make clear the controlling role of stirring, rather than small-scale dissipation, in lar...

Solving Fuzzy Integral Equations of the Second Kind by Fuzzy Laplace Transform Method

Direct measurement of effective magnetic diffusivity in turbulent flow of liquid sodium.

The first direct measurements of effective magnetic diffusivity in turbulent flow of electroconductive fluids (the so-called β effect) under the magnetic Reynolds number Rm≫1 are reported. The measurements are performed in a nonstationary turbulent flow of liquid sodium, generated in a closed toroidal channel. The peak level of the Reynolds number reached Re≈3×10(6), which corresponds to the ma...

Performance Prediction Modeling of Axial-Flow Compressor by Flow Equations

Design models of multi- stage, axial flow compressor are developed for gas turbine engines. Axial flow compressor is one of the most important parts of gas turbine units. Therefore, its design and performance prediction are very important. One-dimensional modeling is a simple, fast and accurate method for performance prediction of any type of compressors with different geometries. In this appro...

The Laplace transform method for Burgers’ equation

The Laplace transform method (LTM) is introduced to solve Burgers’ equation. Because of the nonlinear term in Burgers’ equation, one cannot directly apply the LTM. Increment linearization technique is introduced to deal with the situation. This is a key idea in this paper. The increment linearization technique is the following: In time level t , we divide the solution u(x, t) into two parts: u(...