Thermodynamics Analysis of Radiative Hydromagnetic Couple Stress Fluid through a Channel

This work applies second law of thermodynamics to analyse the effect of radiation on electrically conducting couple stress fluid through a channel. A constant magnetic field is introduced across the flow channel and the resulting Navier- Stokes and energy equations are non-dimensionalized and solved using Adomian decomposition method (ADM) and differential transform method (DTM). The obtained velocity and temperature profiles are used to calculate the entropy generation rate and irreversibility ratio. The effects of radiation, magnetic field and couple stress parameters on the velocity, temperature, entropy generation rate and Bejan number are discussed with the aid of graphs. From the study, it is observed that increase in magnetic field and couple stress parameters reduces the fluid velocity while an increase in radiation parameter reduces the temperature of the fluid. Furthermore, radiation parameter increases entropy generation as heat transfer dominates irreversibility

Second Law Analysis of a Reactive MHD Couple Stress Fluid Through Porous Medium

In this work, effect of magnetic field on the entropy generation rate of a reactive couple stress fluid through porous medium is investigated. The equations governing the fluid flow are formulated, nondimensionalised and solved using the rapidly convergent semi-analytical Adomian decomposition method (ADM). The obtained velocity and temperature profiles are utilised to compute the entropy generation rate, irreversibility ratio and Bejan number. The effects of pertinent flow parameters on velocity, temperature, entropy generation rate and Bejan number are analyzed graphically�

Solution Of Third Order Ordinary Differential Equations Using Differential Transform Method

In this study, a simple and Taylor series-based method known as differential transformation method (DTM) is used to solve initial-value problems involving third-order ordinary differential equations. We introduced briefly the concept of DTM and applied it to obtain the solution of three numerical examples for demonstration. The results are compared with the existing ones in literature and it is concluded that results yielded by DTM converge to the analytical solution more rapidly with few term

A Monte Carlo Simulation Approach in Assessing Risk and Uncertainty Involved in Estimating the Expected Earnings of an Organization: A Case Study in Nigeria

This work provides a simulation-based approach of assessing the risk and uncertainty involved in estimating the expected earnings of an organization. The procedure involves using Monte Carlo Simulation (MCS) in creating various possible outcomes and scenarios. The MCS is found to be more effective than single point estimates or guesswork. Hence, it is an efficient and useful tool in risk management analysis. The analysis of the output of the simulation reveals that the expected earnings is a little bit lower than the most likely forecasted value of N30m but there is 37% chance that the expected earnings might drop below or rise above the estimated value by margin of N10.9m and the wide range of possible outcomes make the venture to be very risky as uncertainties in unit sales, unit price or variable cost can push the earnings to assume any value within the wide range. It is also observed that a large increase in the unit sales and a moderate increase in the unit price will increase the expected revenue which will in turn increase the earnings. The regression analysis gives almost the same result as MCS

On iterative techniques for numerical solutions of linear and nonlinear differential equations

This paper presents Differential Transformation Method (DTM) and Picard’s Iterative Method (PIM) as computational techniques in solving linear and nonlinear differential equations. For numerical analysis of the methods, three examples are considered. The results obtained are compared with their corresponding exact solutions. A link between successive terms of the solutions using the two methods is noted. The DTM is very effective and reliable in obtaining approximate solutions. The PIM requires the satisfaction of Lipschitz continuity condition; though, its results also converge rapidly to the exact solutions

Irreversibility Analysis of a Radiative MHD Poiseuille Flow through Porous Medium with Slip Condition

In this article, irreversibility analysis of thermal radiation with slip condition on MHD Poiseuille flow through porous medium is investigated. The upper and lower walls are kept constant with the same temperature. The radiative heat flux in the energy equation is assumed to follow Roseland approximation. Semi-analytical solutions of the non-linear boundary value problems obtained from the governing equations is constructed using Adomian decomposition method, and the effects of some fluid parameters on fluid motion, temperature, entropy generation and Bejan number are presented

Comparison Homotopy Perturbation and Adomian Decomposition Techniques for Parabolic Equations

This paper compares homotopy perturbation and Adomian decomposition techniques for the solution of parabolic equations. Some examples are considered to illustrate the techniques. The results reveal that the two techniques gave closed form of solution and as such considered most suitable for solving heat flow problems

Approximate Solution of Multipoint Boundary Value Problems

This study applies the Differential Transform Method (DIM) to obtain the approximate solution of multipoint bmmdary value problems. Two examples are solved to illustrate the efficiency of the method. Comparison with the solution obtained by Adomian Decomposition Method revealed that the DIM is an excellent method for this type of problem