Awad R. Mansour

An approximate analytical solution for the nonlinear inverse axial dispersion model

Abstract An analytical solution for diffusion with homogenous n the order nonlinear chemical reaction in laminar flow of a Newtonian fluid through tubular reactor with unknown boundary conditions is presented. The results of the new solution have been compared with previously published numerical solutions and shown to be accurate.

An approximate analytical solution for the prediction of transient response of the trombe wall

Abstract This paper reports an analytical technique for the prediction of some of the transient thermal and hydrodynamic characteristics of a Trombe wall. The present analytical technique when compared with the numerical techniques based on the finite difference method, seems to predict well the temperature distribution, stream function and velocity profile in the Trombe wall channel. It is hoped that this technique will pave the way for solving analytically similar problems in heat transfer and fluid mechanics.

Dispersion of Solute in Laminar Flow through a Circular Tube

Abstract An exact closed-form solution of a mathematical model describing the transport of soluble matter in a solvent inside a circular tube has been obtained in terms of a confluent hypergeometric function and shown to be in excellent agreement with previously published experimental and numerical works.

The Simulation of Multicomponent Sorption Processes with Axial Diffusion

Abstract A generalized complex model has been developed to numerically simulate multicomponent adsorption kinetics of binary and ternary systems. The model takes into account fluid resistance, internal and external diffusion resistances with axial diffusion, and a highly nonlinear equilibrium isotherm. Excellent agreement with previously published experimental data with and without axial diffusion has been obtained. The general computer program developed in this study can be accurately used for any number of components in any complex multicomponent sorption studies.

An analytical solution for diffusion and reaction in a laminar flow tubular reactor

Abstract An exact analytical solution in terms of Laguerre hypergeometric function to problem of diffusion with first order chemical reaction in laminar flow through a tubular reactor is presented. A method of separation of variables followed by change of variables and Laplace transformation has been efficiently applied to the governing partial differential equation. The analytical solution obtained in this work has been compared with previously published numerical solution and shown to be an accurate and reliable solution.

Computer Prediction of Multicomponent Sorption with Variable Initial Concentrations Using a Complex Model

Abstract A generalized mathematical model describing the process of multicomponent adsorption on activated carbon in fixed beds has been used to study the influence of changes in feed concentrations for a ternary system by using an accurate computer solution.

An Accurate Numerical Solution of Biospecific Adsorption in a Stirred Bath

Abstract A mathematical model describing the kinetics of a biospecific adsorption process (affinity chromatography) in a stirred finite bath has been numerically solved by an efficient computer program. The radial adsorption distribution of β-galactosidase onto immobilized anti-β-galactosidase for different times obtained from the present solution has been satisfactorily compared with previously published experimental data, as well as with the theoretical predictions of Chases and Arves models. It is also shown that the present solution is more accurate than the one obtained by Chase. The computer program used in this study is a general one that can be used for any number of solutes and for equilibrium and nonequilibrium conditions.

Drag Reduction Using Pure Natural Honey, with Particular Reference to Biomedical Engineering

Abstract This paper reports experimental results from the use of pure natural honey for drag reduction in capillary tubes, with particular reference to biomedical engineering. The effects of the capillary tube diameter, the Reynolds numbers, concentration percentages, and honey type on the drag reduction were investigated. The maximum drag reduction obtained in this investigation is very much dependent on both the diameter of the capillary tubes and the concentration of the honey. Maximum drag reductions of 17.1%, 46.9%, and 37.3% at concentrations of 1000 ppm were obtained for the tube diameters of 1 mm, 1.3 mm, and 1.5 mm, respectively. Increasing the concentrations to 2000 ppm gave maximum reductions of 43%, 36.5%, and 50% for the tube diameters of 2 mm, 2.5 mm, and 3 mm, respectively.

An analytical analysis for the prediction of nonlinear inverse temperature profiles in solid explosives

Abstract A novel analytical method developed by Mansour and Hussein (11) has been used for the evaluation of critical thermal conditions for a non-linear inverse temperature distribution model of an explosive. The analytical results presented in this work have been compared with previously published numerical results and shown to be accurate. The advantage of this new method is that it can be easily applied to other inverse non-linear models arising in boundary layer, kinetics, electronics, vibration, combustion … etc.

Some experimental aspects of drag reduction in thermoplastic pipes

Abstract This paper reports some experimental results of using a new additive solution for reducing drag in thermoplastic pipes. It was found that the amount of drag achieved is very much dependent on the diameter of the pipe, Reynolds number, and concentrations of the additives. In general it was found that the drag is higher in small-diameter thermoplastic pipes. The maximum drag reduction obtained was 29.4%.