Plot the graph in the MATLAB code.

For hydraulically developed flow in a circular pipe but developing thermal flow, with isothermal walls, at high Pr, the governing equation is r* With boundary conditions The dimensionless variables are defined by The solution can be obtained by separation of variables (the original solution appeared in German, or see here for a sketch of the procedure) but not using any solutions you are likely to have seen before. After some pain, the mean non-dimensional temperature and the Nusselt number as a function of position along the pipe can be found as 2.704 6.679 10.673 14.671 18.67 22.67 0.7488 0.5438 0.4629 0.4154 0.3829 0.3587 4 Consider a specific case: In a wort chiller, cold tap water (15C) enters a pipe flowing at an average velocity of 0.3 m/s in a 1 cm diameter pipe with uniform wall temperature (90C) 1. a) Plot the heat transfer coefficient as a function of position, x. on a log-log scale b) Plot the mean temperature (in Celcius) as a function of position over a distance of 8 meters. Is the length of this wort chiller appropriate? c) Calculate the total rate of heat removal in Watts? For hydraulically developed flow in a circular pipe but developing thermal flow, with isothermal walls, at high Pr, the governing equation is r* With boundary conditions The dimensionless variables are defined by The solution can be obtained by separation of variables (the original solution appeared in German, or see here for a sketch of the procedure) but not using any solutions you are likely to have seen before. After some pain, the mean non-dimensional temperature and the Nusselt number as a function of position along the pipe can be found as 2.704 6.679 10.673 14.671 18.67 22.67 0.7488 0.5438 0.4629 0.4154 0.3829 0.3587 4 Consider a specific case: In a wort chiller, cold tap water (15C) enters a pipe flowing at an average velocity of 0.3 m/s in a 1 cm diameter pipe with uniform wall temperature (90C) 1. a) Plot the heat transfer coefficient as a function of position, x. on a log-log scale b) Plot the mean temperature (in Celcius) as a function of position over a distance of 8 meters. Is the length of this wort chiller appropriate? c) Calculate the total rate of heat removal in Watts