{"id":4702,"date":"2021-03-12T14:18:47","date_gmt":"2021-03-12T12:18:47","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=4702"},"modified":"2021-03-17T11:38:16","modified_gmt":"2021-03-17T09:38:16","slug":"%d0%bf%d0%b0%d1%80%d0%b0%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87%d0%bd%d0%b0-%d0%be%d0%bf%d1%82%d0%b8%d0%bc%d1%96%d0%b7%d0%b0%d1%86%d1%96%d1%8f-%d0%b3%d1%96%d0%b4%d1%80%d0%be%d0%b4%d0%b8%d0%bd%d0%b0%d0%bc","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=4702","title":{"rendered":"\u041f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u044f \u0433\u0456\u0434\u0440\u043e\u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445 \u0442\u0430 \u0442\u0435\u043f\u043b\u043e\u0432\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 \u0442\u0435\u043f\u043b\u043e\u043e\u0431\u043c\u0456\u043d\u043d\u043e\u0433\u043e \u043e\u0431\u043b\u0430\u0434\u043d\u0430\u043d\u043d\u044f \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438 \u0442\u0435\u043e\u0440\u0456\u0457 \u043f\u043e\u0434\u0456\u0431\u043d\u043e\u0441\u0442\u0456 \u0442\u0430 \u0440\u043e\u0437\u043c\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439"},"content":{"rendered":"<p><!--more--><\/p>\n<p style=\"text-align: center;\">\u041f\u0410\u0420\u0410\u041c\u0415\u0422\u0420\u0418\u0427\u041d\u0410 \u041e\u041f\u0422\u0418\u041c\u0406\u0417\u0410\u0426\u0406\u042f \u0413\u0406\u0414\u0420\u041e\u0414\u0418\u041d\u0410\u041c\u0406\u0427\u041d\u0418\u0425 \u0422\u0410 \u0422\u0415\u041f\u041b\u041e\u0412\u0418\u0425 \u041f\u0410\u0420\u0410\u041c\u0415\u0422\u0420\u0406\u0412 \u0422\u0415\u041f\u041b\u041e\u041e\u0411\u041c\u0406\u041d\u041d\u041e\u0413\u041e \u041e\u0411\u041b\u0410\u0414\u041d\u0410\u041d\u041d\u042f \u041c\u0415\u0422\u041e\u0414\u0410\u041c\u0418 \u0422\u0415\u041e\u0420\u0406\u0407 \u041f\u041e\u0414\u0406\u0411\u041d\u041e\u0421\u0422\u0406 \u0422\u0410 \u0420\u041e\u0417\u041c\u0406\u0420\u041d\u041e\u0421\u0422\u0415\u0419<\/p>\n<p style=\"text-align: center;\">PARAMETRIC OPTIMIZATION OF HYDRODYNAMIC AND THERMAL PARAMETERS OF HEAT EXCHANGE EQUIPMENT BASED ON SIMILARITY THEORY AND DIMENSIONAL ANALYSIS<\/p>\n<p><a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/03\/28-1.pdf\"> <img loading=\"lazy\" class=\"size-full wp-image-69 alignnone\" src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\" alt=\"\" width=\"76\" height=\"32\" \/><\/a>   <strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 172-176. \u041d\u043e\u043c\u0435\u0440: \u21165, 2020 (289)<\/strong><br \/>\n<strong>\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong><br \/>\n\u041c.\u0412. \u041c\u0410\u0420\u0427\u0415\u041d\u041a\u041e, \u0412.\u041e. \u0425\u0410\u0420\u0416\u0415\u0412\u0421\u042c\u041a\u0418\u0419<br \/>\n\u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nM. MARCHENKO, V. KHARZHEVSKYI<br \/>\nKhmelnytskyi National University<br \/>\n<strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5732-2020-289-5-172-176\">https:\/\/www.doi.org\/10.31891\/2307-5732-2020-289-5-172-176<\/a><br \/>\n<strong>\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 06.11.2020 \u0440.<br \/>\n<strong>\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 27.11.2020 \u0440.<\/p>\n<p style=\"text-align: center;\"><strong>\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n<p>\u0423 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043e \u043c\u0435\u0442\u043e\u0434 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u0457 \u0433\u0456\u0434\u0440\u043e\u0434\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0438\u0445 \u0442\u0430 \u0442\u0435\u043f\u043b\u043e\u0432\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0456\u0432 \u0442\u0435\u043f\u043b\u043e\u043e\u0431\u043c\u0456\u043d\u043d\u043e\u0433\u043e \u043e\u0431\u043b\u0430\u0434\u043d\u0430\u043d\u043d\u044f. \u0417\u0430\u043f\u0440\u043e\u043f\u043e\u043d\u043e\u0432\u0430\u043d\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0491\u0440\u0443\u043d\u0442\u0443\u0454\u0442\u044c\u0441\u044f \u043d\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u0456 CFD-\u0434\u043e\u0434\u0430\u0442\u043a\u0443 SolidWorks Flow Simulation \u0432 \u043f\u043e\u0454\u0434\u043d\u0430\u043d\u043d\u0456 \u0437 \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438 \u0442\u0435\u043e\u0440\u0456\u0457 \u043f\u043e\u0434\u0456\u0431\u043d\u043e\u0441\u0442\u0456 \u0442\u0430 \u0440\u043e\u0437\u043c\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439. \u041e\u0442\u0440\u0438\u043c\u0430\u043d\u0435 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u044c \u043a\u0440\u0438\u0442\u0435\u0440\u0456\u0430\u043b\u044c\u043d\u0435 \u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u0448\u0432\u0438\u0434\u043a\u043e \u0437\u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0438 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438 \u043c\u043e\u0434\u0435\u043b\u0456, \u044f\u043a\u0456 \u0437\u0430\u0434\u043e\u0432\u043e\u043b\u044c\u043d\u044f\u044e\u0442\u044c \u0443\u043c\u043e\u0432\u0438 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u0457.<br \/>\n<strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u0442\u0435\u043f\u043b\u043e\u043e\u0431\u043c\u0456\u043d\u043d\u0438\u043a, \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u044f, \u0442\u0435\u043e\u0440\u0456\u044f \u043f\u043e\u0434\u0456\u0431\u043d\u043e\u0441\u0442\u0456 \u0442\u0430 \u0440\u043e\u0437\u043c\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439, \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0432\u0430\u043b\u044c\u043d\u0430 \u0433\u0456\u0434\u0440\u043e\u0434\u0438\u043d\u0430\u043c\u0456\u043a\u0430.<\/p>\n<p style=\"text-align: center;\"><strong>\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n<p>The technique of optimization of hydrodynamic and thermophysical parameters of countercurrent heat exchanger is given in the article. The presented technique is based on the usage of computational fluid dynamics (CFD) application SolidWorks Flow Simulation with subsequent approximation of the obtained data by the criterion equation based on similarity theory and dimensional analysis. It is known that the course of processes occurring in the heat exchange equipment is influenced by a large number of parameters, in particular geometric sizes, thermophysical properties of heat carriers etc. Therefore, the optimization problem is multifactorial and in order to simplify the mathematical model, it was decided to use the methods of similarity and dimension theory. As an optimization criterion was chosen the efficiency of the heat exchanger that is an integrated characteristic of the optimal operation of heat exchangers. The proposed methods of parametric optimization of geometric and mode parameters of the shell-and-tube heat exchanger, although the proposed technique can be extended to other types of heat exchange equipment. The database containing information about all the parameters of the studied models allows for multifactor analysis in MathCAD 15 application in order to establish the unknown constants of the criterion equation. The obtained criterion equation allows to quickly find the appropriate modes of operation of the heat exchanger that satisfy the conditions of the objective function.<br \/>\n<strong>Key words:<\/strong> heat exchanger, optimization, similarity theory, dimensional analysis, computational fluid dynamics.<\/p>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<ol>\n<li>Alyamovskij A.A. Komp&#8217;yuternoe modelirovanie v inzhenernoj praktike \/ A.A. Alyamovskij, A.A. Sobachkin, E.V. Odincov. \u2013 SPb. : BHV-Peterburg, 2005. 800 s.<\/li>\n<li>Arsenyeva O.P., Tovazhnyansky L.L., Kapustenko P.O. Optimal design of plate and frame heat exchangers for efficient heat recovery in process industries, \u2013 Energy, 2011, vol. 36, pp. 4588\u20134598.<\/li>\n<li>Liu C., Bu W., Xu D. Multi-objective shape optimization of a plate-fin heat exchanger using CFD and multi-objective genetic algorithm, \u2013 International Journal of Heat and Mass Transfer, 2017, vol. 111, 65\u201382.<\/li>\n<li>Raja B.D., Patel V.K., Jhala R.L. Thermal design and optimization of fin-and-tube heat exchanger using heat transfer search algorithm, \u2013 Thermal Science and Engineering Progress, 2017, vol. 4, pp. 45\u201357.<\/li>\n<li>Spravochnik po teploobmennikam: V 2-h t. T.1 \/ Per. s angl., pod red. S. Petuhova, V.K. SHikova. M. : Energoatomizdat, 1987. 560 s.<\/li>\n<li>Hauzen H. Teploperedacha pri protivotoke, pryamotoke i perekrestnom toke : Per. s nemeck. \/ H.Hauzen. \u2013 M. : Energoizdat, 1981. \u2013 384 s.<\/li>\n<li>Novikov I.I. Teoriya podobiya v termodinamike i teploperedache \/ I.I. Novikov, V.M. Borishanskij. \u2013 M. : Atomizdat, 1979. \u2013 184 s.<\/li>\n<li>Makarov E. Inzhenernye raschety v Mathcad 15: uchebnyj kurs \/ E. Makarov \u2013 SPb.: Piter, 2011. \u2013 400 s.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[38],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/4702"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4702"}],"version-history":[{"count":3,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/4702\/revisions"}],"predecessor-version":[{"id":4990,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/4702\/revisions\/4990"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4702"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4702"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4702"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}