About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Zolotonosov Ya.D. – doctor of technical sciences, professor. E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Abramova T.N. – student E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Barmin K.E. – student E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1 |
| Title of the article | Mathematical description of heat-exchange surfaces |
| Abstract. | We introduced mathematical formulation of spring-twisted linear channels and pipes in the form of «confusor-diffuser» surfaces by differential geometry. These channels’ configurations described as sweep-surfaces. In introduction we reported general techniques for constructing corresponding surfaces and basic equation from differential geometry course. Then we describe spring-twisted linear channel surface. We get this surface by sweep representation of circle along guide curve in the form of spiral. Guide curve lies on cyclic cylinder surface. We wrote spiral equation and deduced corresponding channel surface equation. In next part we describe «confusor-diffuser» pipe surface. When we generate such surface, we use spiral, wired onto the support in the form of two truncated cones for diffuser and confusor correspondingly. We also included guide curve equation and deduced surface equation. For illustrative purposes we presented received surface equations graphical representation and further more image of linear spring-twisted tube section, which pass through axis of cylinder. In conclusion we can use our surface equations for heat-exchange elements description. |
| Keywords. | heat transfer elements, the heat-exchange surfaces, spring-twisted channel, «confusor-diffuser», pipe |
| For citations: | Zolotonosov Ya.D., Abramova T.N., Barmin K.E. Mathematical description of heat-exchange surfaces // Izvestiya KGASU. 2015. №1(31) P.114-118. |
