{"title":"二阶偏滑移条件对吸注MHD假塑性流体蠕动输运的影响","authors":"R. Lakshmi, A. Kavitha","doi":"10.1007/s40010-023-00846-8","DOIUrl":null,"url":null,"abstract":"<div><p>This article deals with the influence of second-order partial slip conditions on peristaltic transport of MHD pseudoplastic fluid with suction and injection. The analytical solution for the frictional force and pressure rate has been evaluated by the techniques of perturbation under the assumption of long wavelength and low Reynolds number. The result of different physical parameters on pressure rate and frictional force is obtained graphically by using MATHEMATICA software. We note that the higher pressure against acts as a pump is further enhanced by increasing magnetic parameter M. As the perturbation parameter ξ increases, the pumping rate tends to increase as well. The velocity profile is decreased by increasing the values of the partial slip parameter <span>\\({\\beta }_{1}\\)</span> and the complete slip parameter <span>\\({\\beta }_{2}\\)</span>. The pseudoplastic fluid responds well to an increase in the suction and injection parameter k, which tends to improve the pressure gradient throughout the entire region.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"93 4","pages":"621 - 630"},"PeriodicalIF":0.8000,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Influence of Second-Order Partial Slip Conditions on Peristaltic Transport of MHD Pseudoplastic Fluid with Suction and Injection\",\"authors\":\"R. Lakshmi, A. Kavitha\",\"doi\":\"10.1007/s40010-023-00846-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This article deals with the influence of second-order partial slip conditions on peristaltic transport of MHD pseudoplastic fluid with suction and injection. The analytical solution for the frictional force and pressure rate has been evaluated by the techniques of perturbation under the assumption of long wavelength and low Reynolds number. The result of different physical parameters on pressure rate and frictional force is obtained graphically by using MATHEMATICA software. We note that the higher pressure against acts as a pump is further enhanced by increasing magnetic parameter M. As the perturbation parameter ξ increases, the pumping rate tends to increase as well. The velocity profile is decreased by increasing the values of the partial slip parameter <span>\\\\({\\\\beta }_{1}\\\\)</span> and the complete slip parameter <span>\\\\({\\\\beta }_{2}\\\\)</span>. The pseudoplastic fluid responds well to an increase in the suction and injection parameter k, which tends to improve the pressure gradient throughout the entire region.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":\"93 4\",\"pages\":\"621 - 630\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-08-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-023-00846-8\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-023-00846-8","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Influence of Second-Order Partial Slip Conditions on Peristaltic Transport of MHD Pseudoplastic Fluid with Suction and Injection
This article deals with the influence of second-order partial slip conditions on peristaltic transport of MHD pseudoplastic fluid with suction and injection. The analytical solution for the frictional force and pressure rate has been evaluated by the techniques of perturbation under the assumption of long wavelength and low Reynolds number. The result of different physical parameters on pressure rate and frictional force is obtained graphically by using MATHEMATICA software. We note that the higher pressure against acts as a pump is further enhanced by increasing magnetic parameter M. As the perturbation parameter ξ increases, the pumping rate tends to increase as well. The velocity profile is decreased by increasing the values of the partial slip parameter \({\beta }_{1}\) and the complete slip parameter \({\beta }_{2}\). The pseudoplastic fluid responds well to an increase in the suction and injection parameter k, which tends to improve the pressure gradient throughout the entire region.