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Comparative Study of Linear and Nonlinear Thermal Radiation on Casson Dusty Fluid Flow Over a Convectively Heated Stretching Sheet


Authors : Manjula K. M.; Y. Veeranna

Volume/Issue : Volume 11 - 2026, Issue 8 - August


Google Scholar : https://tinyurl.com/4kf8xpmf

DOI : https://doi.org/10.38124/ijisrt/26aug1557

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : The present study investigates the influence of linear and nonlinear thermal radiation on Casson dusty fluid flow over a stretching sheet in the presence of heat generation effects. The flow model incorporates viscous dissipation, convective boundary condition, exponential heat generation, and volumetric heat source effects. The governing partial differential equations describing the fluid and dust phases are transformed into a coupled system of nonlinear ordinary differential equations using suitable similarity transformations. The resulting equations are solved numerically with the aid of the Runge-Kutta-Fehlberg (RKF) method together with the shooting technique. The effects of important physical parameters on the velocity and temperature distributions are examined in detail. The numerical results reveal that increasing the Casson fluid parameter suppresses the velocity profiles while enhancing the thermal field. It is further observed that larger values of the radiation parameter, Biot number, Eckert number, and heat generation parameters significantly increase the temperatures of both fluid and dust phases. Moreover, nonlinear radiation produces a stronger thermal enhancement compared to linear radiation. The present investigation is useful in understanding thermal transport processes in engineering applications involving radiative heat transfer, particulate suspensions, thermal energy systems, electronic cooling, and metallurgical processes.

Keywords : Casson Fluid; Dusty; Thermal Radiation; Viscous Dissipation; Irregular Heat Source.

References :

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The present study investigates the influence of linear and nonlinear thermal radiation on Casson dusty fluid flow over a stretching sheet in the presence of heat generation effects. The flow model incorporates viscous dissipation, convective boundary condition, exponential heat generation, and volumetric heat source effects. The governing partial differential equations describing the fluid and dust phases are transformed into a coupled system of nonlinear ordinary differential equations using suitable similarity transformations. The resulting equations are solved numerically with the aid of the Runge-Kutta-Fehlberg (RKF) method together with the shooting technique. The effects of important physical parameters on the velocity and temperature distributions are examined in detail. The numerical results reveal that increasing the Casson fluid parameter suppresses the velocity profiles while enhancing the thermal field. It is further observed that larger values of the radiation parameter, Biot number, Eckert number, and heat generation parameters significantly increase the temperatures of both fluid and dust phases. Moreover, nonlinear radiation produces a stronger thermal enhancement compared to linear radiation. The present investigation is useful in understanding thermal transport processes in engineering applications involving radiative heat transfer, particulate suspensions, thermal energy systems, electronic cooling, and metallurgical processes.

Keywords : Casson Fluid; Dusty; Thermal Radiation; Viscous Dissipation; Irregular Heat Source.

Paper Submission Last Date
30 - September - 2026

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