title: Generalized Magnetic Field Effects in Burgers' Nanofluid Model.
abstract: Analysis has been conducted to present the generalized magnetic field effects on the flow of a Burgers' nanofluid over an inclined wall. Mathematical modelling for hydro-magnetics reveals that the term "[Formula: see text]" is for the Newtonian model whereas the generalized magnetic field term (as mentioned in Eq 4) is for the Burgers' model which is incorporated in the current analysis to get the real insight of the problem for hydro-magnetics. Brownian motion and thermophoresis phenomenon are presented to analyze the nanofluidics for the non-Newtonian fluid. Mathematical analysis is completed in the presence of non-uniform heat generation/absorption. The constructed set of partial differential system is converted into coupled nonlinear ordinary differential system by employing the suitable transformations. Homotopy approach is employed to construct the analytical solutions which are shown graphically for sundr5y parameters including Deborah numbers, magnetic field, thermophoresis, Brownian motion and non-uniform heat generation/absorption. A comparative study is also presented showing the comparison of present results with an already published data.
authors.affiliation: Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Jiading, Shanghai, China.
authors.forename: M M
authors.initials: MM
authors.lastname: Rashidi
authors.affiliation: Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Jiading, Shanghai, China.
authors.forename: Z
authors.initials: Z
authors.lastname: Yang
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Awais
authors.affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan.
authors.forename: Maria
authors.initials: M
authors.lastname: Nawaz
authors.affiliation: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
mesh_terms: D000465:Algorithms; D057446:Hydrodynamics; D016014:Linear Models; D060526:Magnetic Fields; D008280:Magnetics; D044085:Microfluidics; D009038:Motion; D010825:Physics; D012212:Rheology; D012996:Solutions
chemical_list: D012996:Solutions