Research Article Numerical Solutions of Micropolar Nanofluid over an Inclined Surface Using Keller Box Analysis Khuram Rafique, 1 Hammad Alotaibi, 2 Taher A. Nofal, 3 Muhammad Imran Anwar, 4 Masnita Misiran, 5 and Ilyas Khan 6 1 Department of Mathematics, University of Sialkot, Sialkot 51310, Pakistan 2 Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia 3 Department of Mathematics and Statistics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia 4 Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan 5 School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia 6 Faculty of Mathematics and Statistics, Ton Duc ang University, Ho Chi Minh City, Vietnam CorrespondenceshouldbeaddressedtoIlyasKhan;ilyaskhan@tdtu.edu.vn Received 7 October 2020; Revised 10 November 2020; Accepted 30 November 2020; Published 14 December 2020 AcademicEditor:HijazAhmad Copyright © 2020 Khuram Rafique et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e Brownian motion and thermophoretic impacts attained a noticeable intention of the recent researchers because these factorstriggerthethermalconductivityofthenanofluid.Inthisstudy,wefocusonradiationandSoreteffectsonaslanted stretchablesheet.Buongiorno’smodelistakenintoaccountwithBrownianmotionandthermophoreticeffects.Compatible transformationsareimplementedtoattainthenonlineardifferentialequationfromtheboundaryvaluePDE’s.ephysical quantitiesofpracticalinterestaretreatedbygraphicallyaswellasnumerically.Fornumericalresults,theKellerboxtechnique isapplied.enumericaloutcomesthroughtabulatedmagnitudesperformedagoodsettlementwithalreadyexistingresults. Energytransferrateagainstinvolvedfactorexhibitedviagraphs.Energyandmasstransportratesenhanceagainstincrementin Soret factor while skin friction diminishes. Moreover, Nusselt number and Sherwood number decrease on improving in- clination while skin friction increases. 1. Introduction Duetotheidealpotentialofheatandmassexchangeimpacts, the nanofluids have pulled in consideration of analysts worldwide. ese fluids are the mixture of nano-sized par- ticles along with base fluids. e main purpose to mix the nanoparticles into base fluids is to enhance the thermal conductivity. Brownian motion and thermophoretic effects are two principal ideas for an abnormal upgrade of thermal conductivity.ismodelisbecomingmorewidelyusedsince itempowersustoefficientlyexploredifferentapplicationsin the marvels of science and technology. Recently, the flow of theCassonnanofluidoveraninclinedsurfacewasdiscussed numericallybyRafiqueetal.[1].Moreover,theflowofCasson nanofluidonaslantedrotatingdiskwasprobedbySaeedetal. [2]. In addition, Rani and Govindarajan [3] investigated the nanofluid flow through an inclined plate numerically. Nowadays,manyinvestigatorsdiscussedtheflowofnanofluid by considering different geometries [4–10]. ermal radiations are an active part of the research whichisveryvaluableinthelatesttechnology,cancercure, missiles,andnanotechnology.PalandRoy[11]discussedthe numerical impact of thermal radiation on the flow of nanofluidalongthesheet.Morerecently,Ghadikolaeietal. [12] scrutinized Casson nanofluid flow along permeable slanted surface via a famous numerical technique. Saidulu et al. [13] considered an exponentially slanted sheet for examining the radiation influences on nanofluid flow. For furtherdetailsabouttheliteratureontheflowofnanofluid by considering different geometries, see [14–24]. Hindawi Journal of Mathematics Volume 2020, Article ID 6617652, 13 pages https://doi.org/10.1155/2020/6617652