Modelling in Transport Phenomena, 1st Edition by Ismail Tosun

By Ismail Tosun

Simply because many scholars have hassle figuring out the connections among the disparate suggestions taught in delivery courses,the writer offers this textbook that exhibits tips to translate the stock cost equation into mathematical phrases in any respect degrees.

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K C H A P T E R 2. 05 Therefore, the use of Fourier's law of heat conduction, Eq. 3 Fick's First Law of Diffusion Consider two large parallel plates of area A. The lower one is coated with a material ,4 which has a very low solubility in the stagnant fluid B filling the space between the plates. Suppose that the saturation concentration of Jt is PAo and ,4 undergoes a rapid chemical reaction at the surface of the upper plate and its concentration is zero at that surface. 4. Since the solubility of r is low, an almost a linear distribution is reached under steady conditions.

6 that a straight line represents the data fairly well. The equation of this line can be determined by the method of least squares in the form y-mx+b (2) where y = log CA (3) To determine the values of m and b from Eqs. (A. 6-10) and (A. 6-11) in Appendix A, the required values are calculated as follows: Yi xi x 2. 76) - ( 1 5 0 ) ( - 6 . 0087 ( - 6 . 94 ( 6 ) ( 5 5 0 0 ) - (150) 2 Therefore, Eq. (2) takes the form log CA = -- 0 . 115 e - ~176 (5) or, Differentiation of Eq. 23 m o l / m 4 (6) x--0 Substitution of the numerical values into Eq.

1. flux and the temperature gradient is called the~nal conductivity. In SI units, Q is in W ( J / s ) , A in m 2, d T / d x in K / m , and k in W/( m. K). The thermal conductivity of a material is, in general, a function of temperature. However, in many engineering applications the variation is sufficiently small to be neglected. 2 in Appendix D. The microscopic form of Eq. 1-3) is known as Fourier's law of heat conduction and is given by (2 1-4) dT qu = - k --~y in which the subscript y indicates the direction of the energy flux.

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