We propose a mathematical model describing the dynamics of a hematopoietic stem cell population. The method of characteristics reduces the age-structured model to a system of differential equations with a state-dependent delay. A detailed stability analysis is performed. A sufficient condition for the global asymptotic stability of the trivial steady state is obtained using a Lyapunov–Razumikhi...

In this article, the problem of time-dependent stress redistribution of a piezomagnetic rotating thick-walled cylinder under an axisymmetric hygro-thermo-magneto-electro-mechanical loading is analyzed analytically for the condition of plane strain. Using the constitutive equations, a differential equation is found in which there are creep strains. Primarily, eliminating creep strains, an analyt...

Subcooled flow boiling in multi-microchannels can be used as an efficient thermal management approach in compact electrical devices. Highly subcooled flow boiling of HFE 7100 is studied in two microchannel heat sinks to choose a proper numerical model for simulating boiling flows in microchannels. Results of five different numerical models, including Volume of Fluid (VOF), Eulerian boiling, Eul...

Fluid flow models developed for pipe flows in gasoline port fuel injection system with different number of injectors working under steady state condition was simulated this study using Flow Master Software. Using existing equations, theoretical analysis were computed the same parameters and results obtained each parameter both simulation approach compared accordingly. The that had not shown muc...

The broken bearings and great noise and vibration often occurs with the small sugarcane harvester transfer case when it starts up working. To analyze the startup status of the transfer case conveniently and quickly, the finite element transient structure analysis is carried out. with virtual prototype technology to simulate the transfer case's startup dynamic process and measure the instantaneo...

numerical solutions obtained by the meshless local petrov–galerkin (mlpg) method are presented for two-dimensional steady-state heat conduction problems. the mlpg method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. the penalty method is adopted to efficiently enforce the essential boundary co...