{"paper_id":"12e7d685-5eae-4f9c-ad49-2842fc337725","body_text":"Investigation of MHD Flow of a Jeffrey Fluid in microchannel under Slip Conditions | 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 Investigation of MHD Flow of a Jeffrey Fluid in microchannel under Slip Conditions Anil Singh Negi, Jogendra Kumar, Pervinder Singh, Dharmendra Tripathi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9414963/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 8 You are reading this latest preprint version Abstract This work examines the magnetohydrodynamic (MHD) slip flow of Jeffrey fluid confined between a stationary lower plate and a moving upper plate, influenced by a uniform transverse magnetic field. The study highlights the interdependent effects of viscoelasticity, wall motion, magnetic field intensity, and velocity slip on the flow dynamics in a micro-channel. Employing lubrication theory, the governing equations are derived and streamlined to yield analytical expressions for the velocity components, pressure distribution, and volumetric flow rate. The influence of the Jeffrey fluid parameters, which denote relaxation and retardation times, is analyzed in conjunction with magnetic and slip characteristics to clarify deviations from Newtonian behavior. Numerical assessments and graphical outcomes, conducted with MATLAB, demonstrate the interaction of these parameters on flow resistance and pressure gradients. The results yield physical insights pertinent to the regulation and enhancement of MHD-driven viscoelastic microfludic and nanofluidic systems. Jeffrey fluid magnetohydrodynamics (MHD) squeezing flow microchannel flow viscoelastic fluid slip boundary condition lubrication theory micro- and nanofluidics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 11 May, 2026 Reviewers agreed at journal 07 May, 2026 Reviewers agreed at journal 06 May, 2026 Reviewers agreed at journal 06 May, 2026 Reviewers invited by journal 06 May, 2026 Editor assigned by journal 06 May, 2026 Submission checks completed at journal 05 May, 2026 First submitted to journal 14 Apr, 2026 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. 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