Yu Y.,Zhejiang University |
Wu Q.,Zhejiang University |
Khan Y.,University of Hafr Al Batin
Neural Computing and Applications | Year: 2015
In this paper, we present a method to generate a constant mean curvature (CMC) surface with the given boundary. By assuming the velocity to zero in the dynamic model for every step, a fixed-point iteration is carried out. Either the variation of Dirichlet energy or area energy can be chosen to be the approximation of the mean curvature. Experiments and results show that our method can work for minimal surfaces or CMC surfaces with nonzero mean curvature and with fixed or free boundary. Meanwhile it is robust with poor quality initial mesh as well as non-uniformly distributed vertices. © 2015 The Natural Computing Applications Forum
Khan Y.,University of Hafr Al Batin |
Smarda Z.,Brno University of Technology |
Faraz N.,Shanghai University
Thermal Science | Year: 2015
In this paper, the effect of radiation on heat transfer in boundary layer flow over an exponentially shrinking sheet is investigated analytically. The similarity transformations are used to transform the partial differential equations to ordinary ones, and an analytical solution is obtained using the homotopy perturbation method. The heat transfer characteristics for different values of the Prandtl number, Eckert number, and radiation number are analyzed and discussed. Finally, the validity of results are verified by comparing with the existing numerical results. Results are presented in tabulated forms to study the efficiency and accuracy of the homotopy perturbation method.
Al-Zahrani M.,King Fahd University of Petroleum and Minerals |
Chowdhury S.,King Fahd University of Petroleum and Minerals |
Abo-Monasar A.,University of Hafr Al Batin
Journal of Water Reuse and Desalination | Year: 2015
This study investigated the rainfall patterns, spatial variability, surface runoff generation and dam requirements in the southwestern region of Saudi Arabia. The region was divided into four areas Asir, Jazan, Al-Baha and the Red Sea Coast. Surface runoff was estimated for eight scenarios considering the runoff coefficients of 0.05–0.70, resulting in 203–2,835 million cubic meters (MCM) of runoff per year in this region. The runoff in the Asir, Jazan, Al-Baha and the Red Sea Coast were estimated to be in the ranges of 88–1,230, 53–738, 32–443 and 30–425 MCM per year, respectively. The capacities of the existing dams in Asir, Jazan and Al-Baha are approximately 373, 194 and 31 MCM, respectively, while the coast does not have any dam. A significant fraction of runoff is likely to be lost in each scenario of assessment. Water resources may be augmented through construction of new dams and/or wells in appropriate locations. However, better understanding is advisable on locations, water availability, surface evaporation in wadies and reservoirs, accumulation of solids in dam/reservoirs, hydraulic conductivity, economic burdens and national policy. © IWA Publishing 2015.
Al-Zahrani M.A.,King Fahd University of Petroleum and Minerals |
Abo-Monasar A.,University of Hafr Al Batin
Water Resources Management | Year: 2015
Water demand prediction is essential in any short or long-term management plans. For short-term prediction of water demand, climatic factors play an important role since they have direct influence on water consumption. In this paper, prediction of future daily water demand for Al-Khobar city in the Kingdom of Saudi Arabia is investigated. For this purpose, the combined technique of Artificial Neural Networks (ANNs) and time series models was constructed based on the available daily water consumption and climatic data. The paper covers the following: forecast daily water demand for Al-Khobar city, compare the performance of the ANNs [General Regression Neural Network (GRNN) model] technique to time series models in predicting water consumption, and study the ability of the combined technique (GRNN and time series) to forecast water consumption compared to the time series technique alone. Results indicate that combining time series models with ANNs model will give better prediction compared to the use of ANNs or time series models alone. © 2015 Springer Science+Business Media Dordrecht
Apalara T.A.,University of Hafr Al Batin
Acta Mathematica Scientia | Year: 2016
In this paper we consider one-dimensional Timoshenko system with linear frictional damping and a distributed delay acting on the displacement equation. Under suitable assumptions on the weight of the delay and the wave speeds, we establish the well-posedness of the system and show that the dissipation through the frictional damping is strong enough to uniformly stabilize the system even in the presence of delay. © 2016 Wuhan Institute of Physics and Mathematics.