You can find these mathematical models in Heat and Mass Transfer books, like: "Fundamentals of Heat and Mass Transfer" from Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt. I have the link for the full textbook. If you want it, send me a private message. Best regards, prof. Strobel.
Whatever Prof. Strobel mentioned can be useful for understanding the basics, Moreover, I suggest you to survey the industrial existed preheater (maybe cataloges or websites), and getting their parameters and some effort of re-engineering may save you some time, If you are going for designing and fabrication, and even simulation!