Abstract
The mass and heat transport of Casson nanofluid flow in a channel under the influence of the magnetic field, heat generation, chemical reaction, ramped concentration, and ramped temperature is studied. Nanoparticles of copper (Cu) are inserted in sodium alginate (SA) to make nanofluid. The definition of time-fractional Caputo derivative is applied to have the fractional model. The analytical results of concentration, temperature, velocity, skin friction, Sherwood numbers, and Nusselt numbers for ramped and isothermal boundary conditions are obtained in the form of summation after applying the Laplace inverse transform. The effects of the fractional parameter ( ξ ) and physical parameters are depicted graphically. For higher values of ξ the velocity, concentration and temperature reduce. The fractional model is a better choice to control velocity, concentration, and temperature profiles. The energy enhances by increasing volume fraction ( ϕ ), whereas mass and flow of nanofluid reduce. The Sherwood and Nusselt numbers for both isothermal and ramped conditions increase by increasing ϕ . Ramped conditions can control the flow, mass, and heat of the nanofluid.
Highlights
Non-Newtonian fluids have attracted several scientists and researchers due to their industrial applications such as cosmetics, synthetic lubricants, clay coating, certain oils, paint, synthetic lubricants, certain oils, biological fluids, pharmaceuticals, and drilling muds
For the expectancy of flow tendency of balanced pigment oil, Casson [1] introduced the model of Casson fluid in 1959
Motivated by the above literature focus of this work is to scrutinize the results of chemical reaction, heat generation, and magnetic force with ramped concentration and temperature unsteady flow of Casson nanofluid
Summary
Non-Newtonian fluids have attracted several scientists and researchers due to their industrial applications such as cosmetics, synthetic lubricants, clay coating, certain oils, paint, synthetic lubricants, certain oils, biological fluids, pharmaceuticals, and drilling muds. The studies of the flow of MHD nanofluid with ramped concentration and temperature conditions in the literature currently are not discussed analytically in detail due to its complicated relations. Zin et al [20] analyzed the effects of ramped temperature, thermal radiation, and magnetic field on the natural convection Jeffrey fluid flow. Arif et al [25] studied fractionalized Casson fluid flow on a plate with ramped concentration and temperature. The MHD Casson nanofluid flow with ramped concentration and temperature through a channel is not investigated in literature yet. Motivated by the above literature focus of this work is to scrutinize the results of chemical reaction, heat generation, and magnetic force with ramped concentration and temperature unsteady flow of Casson nanofluid. The significant results are illustrated graphically and discussed in detail
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
