Sensitivity analysis on radiative heat transfer of hydromagnetic Carreau nanoliquid flow over an elongating cylinder using Bulirsch-Stoer algorithm. (1st October 2021)

• Record Type: Journal Article
• Authors: Mathew, Alphonsa; Areekara, Sujesh; Sabu, A.S.
• Is Part Of: Thermal science and engineering progress. Volume 25(2021)
• Publication Date: 2021-10-01
• Subjects: Sensitivity analysis -- Carreau nanofluid -- Stretching cylinder -- Multiple slip -- Bulirsch-Stoer algorithm -- Magneto-fluid dynamics; Heat engineering -- Periodicals; Heat engineering; Thermodynamics; Periodicals; 621.402
• DOI: 10.1016/j.tsep.2021.101038
• Languages: English
• ISSNs: 2451-9049

Abstract

Graphical abstract: A steady two-dimensional hydromagnetic Carreau nanoliquid flow over an elongating cylinder with r = R fixed at origin, O with radiative and chemical reactive effects is analysed. The cylinder is elongated along the x -direction with velocity ax l and a uniform magnetic field (of strength B 0 ) is administered in the r - direction. Highlights: MHD convective Carreau nanoliquid flow with multiple slip effects over a stretching cylinder is investigated. Chemical reaction and radiation effects are considered. The numerical solution is calculated using Bulirsch-Stoer Algorithm. Simultaneous effects of parameters on physical quantities are analysed using surface plots. Sensitivity analysis on heat transfer rate is carried out. Abstract: The focal concern of this work is to numerically scrutinize the consequences of multiple slip, linear radiation and chemically reactive species on MHD convective Carreau nanoliquid flow over an elongating cylinder. The present study has applications in metallurgical procedures, blow molding, glass fibers, and extrusion processes. Relevant transformations are implemented in converting the governing equations into a system of ODEs and are further treated numerically using the Bulirsch-Stoer algorithm coupled with the shooting technique in MATLAB. The Bulirsch-Stoer method is a numerical technique based on two ideas; the midpoint method and Richardson extrapolation. Illustrations on the effect of flow profiles due to the varying parameter values are achieved with the aid of graphs. Characteristics of skin friction are quantified using linear regression slope. Simultaneous impact of radiation and thermal slip on Nusselt number and the response of solutal slip and chemically reactive species on mass transfer rate is analysed using three-dimensional surface plots. Moreover, statistical scrutiny on the impact of Hartmann number 1 ≤ M ≤ 2, thermal radiation 1 ≤ R d ≤ 2 and thermal slip parameter 0.1 ≤ b 2 ≤ 0.3 over heat transfer rate employing Response Surface Methodology (RSM) and sensitivity analysis is also performed. Further, verification of the MATLAB code is achieved through a restrictive study with prior published works and a commendable agreement is noted.