Numerical Bifurcation Analysis of Carreau Fluid in Asymmetric Peristaltic Regime

Numerical Bifurcation Analysis of Carreau Fluid in Asymmetric Peristaltic Regime | 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 Numerical Bifurcation Analysis of Carreau Fluid in Asymmetric Peristaltic Regime Husnain Rasool Kazmi, Nasir Ali, Kaleem Ullah This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6637909/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract This article provides numerical bifurcation analysis of the stagnation points in an asymmetric peristaltic flow of a Carreau fluid. A non-linear differential equation is obtained in terms of stream function after using the simplifying assumptions of long wavelength and negligible inertia. A numerical solution to this equation is obtained with the aid of Mathematica solver NDSolve which is based upon the shooting method and Runge-Kutta fourth-order technique. The obtained numerical solution is then utilized in conjunction with the qualitative theory of dynamical systems to identify and classify the stationary points. The impact of material parameter of Carreau model on emergence and evolution of stationary points is thoroughly examined through local and global bifurcation diagrams. This study examines the changes in flow topology through the channel when partial obstruction occurs. The results of this research could aid in maintaining smooth fluid flow through the pump, minimizing the risk of entrapment from inlet to outlet. Also, if eddying zone is occurring, these insights can be beneficial in detecting the specific location within the pump where the fluid is being trapped. Numerical bifurcation analysis Carreau fluid Streamline topologies Asymmetric channel Peristaltic flow Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major Revision 09 Feb, 2026 Reviewers agreed at journal 19 Dec, 2025 Reviewers invited by journal 19 Dec, 2025 First submitted to journal 13 May, 2025 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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