A prior knowledge of the water table fluctuations, in response to the proposed recharge scheme, is essential to achieve the preset objectives of ground water resources management. In this paper an analytical solution of the linearised Boussinesq's equation is presented to predict the...

Understanding the dynamic response of phreatic aquifers due to recharge is most important for the proper management of ground-water systems. In this paper an analytical solution is developed to describe the water-table fluctuation in a finite aquifer system due to transient recharge from two...

This paper presents a new air-heating system concept for energy-efficient dwellings. It is a system designed to heat a low-energy building by coupling a heat-recovery ventilation system with a three-fluid heat exchanger located on the chimney of a wood-pellet stove. The proposed work focuses on...

Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier–Stokes equation. Since the kinetic boundary condition is...

In this work, we present a new analytical model for the prediction of pollutant dispersion in the atmospheric boundary layer incorporating either the spatial and temporal continuous dependence of the eddy diffusivity. For such, we solve the time-dependent three-dimensional advection–diffusion...

Asian options incorporate the average stock price in the terminal payoff. Examination of the Asian option partial differential equation (PDE) has resulted in many equations of reduced order that in general can be mapped into each other, although this is not always shown. In the literature these...

Least squares cross-validation (CV) methods are often used for automated bandwidth selection. We show that they share a common structure which has an explicit asymptotic solution. Using the framework of density estimation, we consider unbiased, biased, and smoothed CV methods. We show that, with...

The development of two analytical models that describe the thermal behaviour of solar air heaters of double-parallel flow and double-pass counter flow is presented. Based on the local energy balances, algebraic expressions for the efficiency factor F′ and the overall heat loss coefficient, UL,...

This paper is focused on the derivation of analytical solution describing the development of gas pressure driven microflow in a gap between two parallel plates. The gas flow is assumed to be steady, laminar and incompressible. For the mathematical description of the problem, the Oseen flow model...

The analytical solution of transient in-plane vibration of a thin viscoelastic disc caused by a radial pressure load is presented. Using the multi-precision implementation of FFT based algorithm, the inverse Laplace transform is carried out and the spatio-temporal distributions of displacement...