STUDY ON DIMENSIONAL ANALYSIS USING THE FLOW OF WATER THROUGH TWO GEOMETRICALLY SIMILAR TANKS AT DIFFERENT TEMPERATURES

Category : JOURNAL OF ENGINEERING AND APPLIED SCIENTIFIC RESEARCH, volume 13, number 1, 2021

Aliyu A.  Baba1, Zubairu Bello2 & Yakub B. Ahmad3

Department of Mechanical Engineering Technology1&2

Department of Chemical Engineering Technology2

Federal Polytechnic Mubi, Adamawa State-Nigeria1, 2&3

ABSTRACT

Dimensional analysis is a way of simplifying a physical problem by appealing to dimensional similarity to reduce the number of relevant variables. A multi-parameter problem often has    difficulties in achieving complete similarity.Dimensional analysis gives a useful technique of decreasing difficult physical problems to the easiest, simplest and most economical method before obtaining a measurable solution. This study worked on getting the pi terms or groups involved in two geometrically similar tanks allowing the fluid (water) to be completely drained from them using two temperature values of 26.5℃ and 43.5℃ respectively for each tank using n relevant variables and m independent dimensions which was reduced to a relationship between   n – m non-dimensional parameters , …, . As the values of pi 1 ( terms of the big tank are decreasing, the values of the pi 4 terms are increasing in all cases.

Keywords: Dimensional analysis, Similar tanks, temperature, pi-terms, Measurable, Technique.

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STOCK PRICES PREDICTION USING GEOMETRIC BROWNIAN MOTION: ANALYSIS OF THE NIGERIAN STOCK EXCHANGE

Category : JOURNAL OF ENGINEERING AND APPLIED SCIENTIFIC RESEARCH, volume 13, number 1, 2021

Agbam, Azubuike Samuel 

Department of Banking and Finance,

Rivers State University, Nkpolu-Oroworukwo, Port Harcourt

Email: azubuikesamuelagbam@yahoo.com

ABSTRACT

In this study, the stochastic price movements of stocks are modeled by a geometric Brownian motion (GBM). The model assumptions of the GBM with drift: continuity, normality and Markov tendency, were investigated using four years (2015 – 2018) of historical closing prices of ten stocks listed on The Nigerian Stock Exchange. The sample for the study is based on the eight sectors of The Nigerian Stock Exchange and most continuously traded stocks. The predicted stocks prices have been compared to actual prices in order to evaluate the validity of the prediction model. On stocks prices prediction using geometric Brownian motion model, the algorithm starts from calculating the value of returns, followed by estimating values of volatility and drift, obtaining the stock prices forecast, calculating the forecast Mean Absolute Percentage Error, calculating the stock expected prices and calculating the confidence level at 95%. The results show that the value of the MAPE is 50% and below for the one to two year holding periods, and above 50% for the three year holding period. The MAPE and directional prediction accuracy method provided support that over short periods the GBM model is accurate. Meaning that the GBM is a reasonable predictive model for one or two years, but for three years, therefore, it is an inaccurate predictor.

Keyword: Stochastic forecasting, Geometric Brownian motion, Stochastic Differential Equation, Stock return, The Nigerian stock Exchange.

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