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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8629
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dc.contributor.authorSharma, Nidhi-
dc.contributor.authorGarg, Ashish-
dc.date.accessioned2026-02-11T06:11:53Z-
dc.date.available2026-02-11T06:11:53Z-
dc.date.issued2025-10-27-
dc.identifier.citationFluid Dynamics Research, 2025, Vol. 57(5), AR No. 055509en_US
dc.identifier.issn1873-7005-
dc.identifier.urihttp://hdl.handle.net/2289/8629-
dc.descriptionRestricted Access.en_US
dc.description.abstractThe flow of non-Newtonian fluids through corrugated geometries is central to numerous applications such as microfluidics, printing, coating, and biomedical transport. In this study, we present exact analytical expressions relating the pressure drop and volumetric flow rate for steady, laminar flow of power-law fluids through five different two-dimensional converging–diverging channel geometries: linear wedge, parabolic, hyperbolic, hyperbolic cosine, and sinusoidal. The analysis is performed under the lubrication approximation for low-Reynolds-number Stoke flow regime. It is noticed that when the flow viscosity is taken as a constant, the method approaches the Newtonian flow physics. Our results demonstrate how flow rate, velocity profile and pressure drop are influenced by fluid rheology and geometric shape of the channel. It is observed that the flow rate is maximum for the wedge profile followed by hyperbolic and sinusoidal geometries, then parabolic and minimum for the cosine hyperbolic profile. Additionally, as the value of power index increases, i.e. as the fluid transitions from shear-thinning to shear-thickening, the flow rate decreases. The velocity profiles show accelerated flow in the converging section and deceleration in the diverging section, with sharper peaks as the power-law index increases. The pressure gradient is negative throughout the channel, steeper in the converging part and gradually approaching zero at the exit. It becomes more negative with increasing n, indicating enhanced resistance to flow in shear-thickening fluids. The present method can be utilized for several types of fluids ranging from shear thinning to shear-thickening and specific channel profiles. In cases where complex mathematical and practical considerations pose a challenge in obtaining analytical expressions, the present investigation provides a strong frame of reference for obtaining accurate numerical results. The model is validated in the Newtonian limit and serves as a reliable benchmark for numerical modeling of non-Newtonian flows in complex geometries.en_US
dc.language.isoenen_US
dc.publisherFluid Dynamics Researchen_US
dc.relation.urihttp://doi.org/10.1088/1873-7005/ae1384en_US
dc.rights2025 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.en_US
dc.subjectnon-Newtonian flowen_US
dc.subjectpower-law fluiden_US
dc.subjectcorrugated channelsen_US
dc.subjectconverging–divergingen_US
dc.subjectlinear-wedgeen_US
dc.subjectparabolicen_US
dc.subjectsinusoidalen_US
dc.titlePower-law fluid flow through various converging–diverging geometries of corrugated channelsen_US
dc.typeArticleen_US
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