Unsteady Fractional Casson Fluid Flow with Thermal Radiation and Heat Sink in a Convectively Heated Coutte Channel

Unsteady Fractional Casson Fluid Flow with Thermal Radiation and Heat Sink in a Convectively Heated Coutte Channel | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Unsteady Fractional Casson Fluid Flow with Thermal Radiation and Heat Sink in a Convectively Heated Coutte Channel Muhammad Nasiru Sarki, Abdullahi Sani Aliero, Abubakar Sani Fakai, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7215603/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The Casson fluid is regarded as one of the most well-known fluid kinds in the non-Newtonian substance group. Some characteristics are incomprehensible when seen only via the Newtonian flow problem lens. Therefore, it is more productive to use the non-Newtonian fluid motion. Synthetic lubricants, some oil paints, biological fluids, and other polymer solutions are only a few of the noteworthy scientific and industrial applications for Casson fluids. The Atangana–Baleanus in Caputo sense model (ABC) and the Caputo–Fabrizio model (CF) have been used to study the Casson fluid flow issue with heat sink effected by symmetric wall temperature. The Riemann sum approximation was used to invert all solutions from the Laplace domain to the time domain for both the CF and ABC models in the transient state, yielding approximation solutions for dimensionless temperature, velocity, skin friction, and Nusselt numbers. The steady-state instances were obtained through perturbation techniques. The effects of many dimensionless parameters on momentum, energy, frictional force, and heat transfer are examined and represented using illustrative graphs. It has been observed that raising the Casson fluid and heat sink parameters dramatically decreases the fluid's temperature and velocity. The flow are significantly impacted by the presence of symmetric wall temperature. It's also crucial to take note of the results, which show that while temperature and velocity in the CF and ABC models decrease as the fractional parameter increases, they both increase when the time and relaxation interval parameter increases. However, it was also demonstrated that an increase in thermal radiation led to a spike in the temperature profile. Additionally, it was observed that although a condition of instability developed at the top plate as a result of an enhancement in the fractional parameter, skin friction rose at the lower plate as a result of an increase in both heat radiation and the fractional parameter. Casson Fluid Heat Sink Fractional Derivative Model Thermal Radiation Couttee Flow Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7215603","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":528136235,"identity":"82e0f706-ad0b-47ad-92e2-f4a79735cebc","order_by":0,"name":"Muhammad Nasiru Sarki","email":"","orcid":"","institution":"Kebbi State University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Muhammad","middleName":"Nasiru","lastName":"Sarki","suffix":""},{"id":528136236,"identity":"baf63951-efd9-4c3f-939b-6f9e736bcf66","order_by":1,"name":"Abdullahi Sani Aliero","email":"","orcid":"","institution":"Usmanu Danfodiyo 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Some characteristics are incomprehensible when seen only via the Newtonian flow problem lens. Therefore, it is more productive to use the non-Newtonian fluid motion. Synthetic lubricants, some oil paints, biological fluids, and other polymer solutions are only a few of the noteworthy scientific and industrial applications for Casson fluids. The Atangana–Baleanus in Caputo sense model (ABC) and the Caputo–Fabrizio model (CF) have been used to study the Casson fluid flow issue with heat sink effected by symmetric wall temperature. The Riemann sum approximation was used to invert all solutions from the Laplace domain to the time domain for both the CF and ABC models in the transient state, yielding approximation solutions for dimensionless temperature, velocity, skin friction, and Nusselt numbers. The steady-state instances were obtained through perturbation techniques. 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