1. The flux of a 1-D 'drop' of ink isj = -k Vp, where p is the ink concentration and kis a constant. (a) Describe the ch

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1 The Flux Of A 1 D Drop Of Ink Isj K Vp Where P Is The Ink Concentration And Kis A Constant A Describe The Ch 1 (65.9 KiB) Viewed 40 times

1. The flux of a 1-D 'drop' of ink isj = -k Vp, where p is the ink concentration and kis a constant. (a) Describe the characteristics of this kind of flux. (b) If the ink concentration as a function of position and time is, p(x, t) = P. e-x2/4kt Arkt and pe is a constant, show that j and p satisfy the equation, V. j + dpldt = 0. (c) What is the physical significance of this equation? (d) If, instead, j and p satisfy, V. j + dpldt = f(x,t), where f is a scalar function of position and time, what is the physical significance of f? [10 marks]