QB4: Introduction to CFD a) Explain what the fully developed velocity profile is and by using a schematic diagram illust

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Qb4 Introduction To Cfd A Explain What The Fully Developed Velocity Profile Is And By Using A Schematic Diagram Illust 1 (117.92 KiB) Viewed 15 times

QB4: Introduction to CFD a) Explain what the fully developed velocity profile is and by using a schematic diagram illustrate the various flow development stages that happen in a pipe before the flow is characterized to be in a fully developed region. [8 Marks] b) The three-dimensional heat conduction equation can be represented as: ОТ 2²T 2²T 2²T + + ax² by 2 az? 18=PC, + Ot where, k, p and C, are the conductivity, density and specific heat of the solid material. T is the temperature which varies in the x, y, z directions and with time (t). 18is the ratio of internal heat generation per unit volume. i) Assuming the heat conduction takes place in the x- and y- directions with internal heat generation, I and T = T(x,y,t), simplify the above equation. [3 marks] ii) Assuming that heat conduction takes place just in the x-direction with no internal heat generation and T = T(x,t), simplify the above equation. [6 Marks] iii) Use direct replacement method and explicit method to represent 22T OT derivatives and -). Show clearly the nodal elements Ox at involved. [8 Marks] TOTAL 125 Marks]