Sangamesh , K.R. Raghunatha , Ali J. Chamkha , Vinod Y
{"title":"热源对卡森纳米流体在指数拉伸薄片上流动的影响","authors":"Sangamesh , K.R. Raghunatha , Ali J. Chamkha , Vinod Y","doi":"10.1016/j.padiff.2025.101262","DOIUrl":null,"url":null,"abstract":"<div><div>The research examines the behaviour of nanofluid flow, incorporating Casson fluid properties and a heat source, as it moves over a sheet that stretches exponentially at the stagnation point. The interplay of Brownian motion and thermophoretic properties adds to the complexity, creating a coupled nonlinear boundary-value problem (BVP). The original partial differential equations (PDEs) are converted into ordinary forms by applying proper similarity conversions. Initially formulated for an infinite domain [0, ∞), the problem was then converted to a finite domain [0, 1] using wavelet transformations. The Bernoulli wavelet method (BWM) was employed to numerically solve the transformed equations within the MATHEMATICA 12 platform. The obtained findings are extremely compared with earlier research that examined various specific scenarios within the problem. A detailed investigation of the physical limitations is conducted and the numerical results are visually presented to provide clear illustrations. A higher Prandtl number leads to reduced thermal diffusivity, resulting in a thinner thermal boundary layer and steeper temperature gradients concentrated near the surface. Similarly, an increase in the Lewis number lowers molecular diffusivity, producing a more confined solutal boundary layer. The presence of an internal heat source further elevates fluid temperature near the stretching sheet, expanding the thermal boundary layer due to added thermal energy.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101262"},"PeriodicalIF":0.0000,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Influence of heat source on Casson nanofluid flow over an exponentially stretching sheet\",\"authors\":\"Sangamesh , K.R. Raghunatha , Ali J. Chamkha , Vinod Y\",\"doi\":\"10.1016/j.padiff.2025.101262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The research examines the behaviour of nanofluid flow, incorporating Casson fluid properties and a heat source, as it moves over a sheet that stretches exponentially at the stagnation point. The interplay of Brownian motion and thermophoretic properties adds to the complexity, creating a coupled nonlinear boundary-value problem (BVP). The original partial differential equations (PDEs) are converted into ordinary forms by applying proper similarity conversions. Initially formulated for an infinite domain [0, ∞), the problem was then converted to a finite domain [0, 1] using wavelet transformations. The Bernoulli wavelet method (BWM) was employed to numerically solve the transformed equations within the MATHEMATICA 12 platform. The obtained findings are extremely compared with earlier research that examined various specific scenarios within the problem. A detailed investigation of the physical limitations is conducted and the numerical results are visually presented to provide clear illustrations. A higher Prandtl number leads to reduced thermal diffusivity, resulting in a thinner thermal boundary layer and steeper temperature gradients concentrated near the surface. Similarly, an increase in the Lewis number lowers molecular diffusivity, producing a more confined solutal boundary layer. The presence of an internal heat source further elevates fluid temperature near the stretching sheet, expanding the thermal boundary layer due to added thermal energy.</div></div>\",\"PeriodicalId\":34531,\"journal\":{\"name\":\"Partial Differential Equations in Applied Mathematics\",\"volume\":\"15 \",\"pages\":\"Article 101262\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-07-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Partial Differential Equations in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666818125001895\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818125001895","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
Influence of heat source on Casson nanofluid flow over an exponentially stretching sheet
The research examines the behaviour of nanofluid flow, incorporating Casson fluid properties and a heat source, as it moves over a sheet that stretches exponentially at the stagnation point. The interplay of Brownian motion and thermophoretic properties adds to the complexity, creating a coupled nonlinear boundary-value problem (BVP). The original partial differential equations (PDEs) are converted into ordinary forms by applying proper similarity conversions. Initially formulated for an infinite domain [0, ∞), the problem was then converted to a finite domain [0, 1] using wavelet transformations. The Bernoulli wavelet method (BWM) was employed to numerically solve the transformed equations within the MATHEMATICA 12 platform. The obtained findings are extremely compared with earlier research that examined various specific scenarios within the problem. A detailed investigation of the physical limitations is conducted and the numerical results are visually presented to provide clear illustrations. A higher Prandtl number leads to reduced thermal diffusivity, resulting in a thinner thermal boundary layer and steeper temperature gradients concentrated near the surface. Similarly, an increase in the Lewis number lowers molecular diffusivity, producing a more confined solutal boundary layer. The presence of an internal heat source further elevates fluid temperature near the stretching sheet, expanding the thermal boundary layer due to added thermal energy.