In this present work we applied new applications of direct algebraic method to foam drainage equation and to Nonlinear Wave equation with the fifth order nonlinear term, the balance numbers of which are not positive integers. Then new types of complex solutions are obtained to the foam drainage equation and Nonlinear Wave equation with the fifth order nonlinear term.

coriandrum sativum l. is one of the most important plants compared to the other herbs and medicinal plants as a planted covered area in kermanshah province. for a suitable irrigation management programming, the awareness of crop coefficient and water requirement in different plant stages is essential. the ratio of actual evapotranspiration to reference crop evapotranspiration is defined as crop...

Acid-base balance evaluation according to the Henderson-Hasselbalch equation enable us to assess the contribution of respiratory (pCO2) and/or non-respiratory (metabolic, HCO3(-)) components to the acid-base balance status. A new approach to acid-base balance evaluation according to Stewart-Fencl, which is based on a detailed physical-chemical analysis of body fluids shows that metabolic acid-b...

Progress in ocean wave forecasting is described in the context of the fundamental law for wave prediction: the energy balance equation. The energy balance equation gives the rate of change of the sea state caused by adiabatic processes such as advection, and by the physical source functions of the generation of ocean waves by wind, the dissipation due to whitecapping and the nonlinear four-wave...

During designing a business process model, to predict its performance is very important. The performance of business operational process is heavily influenced by its bottlenecks. In order to improve the performance, finding the bottlenecks is critical. This paper proposes a theoretical analysis method for bottleneck detection. An abstract computational model is designed to capture the main elem...

A theory based on Manning roughness equation, Philip equation and water balance equation was developed which only employed the advance distance in the calculation of the infiltration parameters and irrigation coefficients in both the border irrigation and the surge irrigation. The improved procedure was validated with both the border irrigation and surge irrigation experiments. The main results...

A theoretical model is developed to consider the effect of demulsifier agent on demulsification of water-in-crude oil emulsion. A thermodynamic approach is considered to correlate the critical micelle concentration of a demulsifier to the collision frequency function in population balance equation (PBE). Based on the proposed correlation, the collision frequency function is modified to account ...

On the basis of the continuity equation and the Bernoulli equation in the steady form, a differential equation is developed to evaluate the successive water levels within compartments of an upright perforated wave absorber. Then the initial and boundary conditions are introduced and the differential equation is solved as an initial value problem. Finally the reflection coefficient from the wave...

The spectral action balance equation is an equation that used to simulate short-crested wind-generated waves in shallow water areas such as coastal regions and inland waters. This equation consists of two spatial dimensions, wave direction, and wave frequency which can be solved by finite difference method. When this equation with dominating convection term are discretized using central differe...

A PDAE model of a multicomponent gas pipeline has been formulated and solved using the ode15s solver of Matlab. The model with boundary conditions allows for reactions and di usion. Also, general cubic equations of state for pressure and enthalpy are described. To simplify the implementation at this stage, a non-reactive, non-di usional model with fixed feed composition is considered, and multi...