The material derivative (to be discussed in lecture), usually denoted D/Dt, is defined as D Dt = ?
The material derivative is a useful concept, which expresses the rate of change measured by an observer moving with the local fluid velocity u(x, t). The material derivative (to be discussed in lecture), usually denoted D/Dt, is defined as D Dt = ? ?t + u · ? . (27) (a) In one dimension, with u = u(x, t)ex and D Dt = ? ?t + u ? ?x , show b Db Dt = 1 2 Db2 Dt . Note that this result is the same as for the ordinary derivative. Solution: Simply differentiate to obtain ?b2 ?t = 2b ?b ?t and ?b2 ?x = 2b ?b ?x . Hence, we see that 1 2 Db2 Dt = b ?b ?t + u ?b ?x = b Db Dt
Save your time - order a paper!
Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines
Order Paper NowPLACE THIS ORDER OR A SIMILAR ORDER WITH BEST NURSING TUTORS TODAY AND GET AN AMAZING DISCOUNT
The post The material derivative (to be discussed in lecture), usually denoted D/Dt, is defined as D Dt = ? appeared first on BEST NURSING TUTORS .
Do you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A+ quality paper that is free from plagiarism. Order now for an Amazing Discount!
Use Discount Code "Newclient" for a 15% Discount!
NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.
