Abstract
•Magneto nanofluid is adopted.•Variable thickness of sheet is taken.•Solutions development is by homotopy algorithm.•Residual errors are computed.•Brownian motion and thermophoresis are accounted.
Purpose of present article is to analyze the flow of Maxwell nanomaterial bounded by a nonlinear stretching sheet. Brownian motion and thermophoresis are discussed. Stretching sheet of variable thickness is considered. Electrically conducting fluid is entertained. The governing nonlinear problems are successively solved and addressed for the outcome of influential variables. The velocity of the fluid decreases by enhancing Deborah number effect while temperature and concentration have reverse effects. Temperature and concentration of the nanofluid are increasing functions of thermophoresis parameter. Concentration of nanoparticles decreases by increasing Brownian motion. Comparison of homotopy analysis and numerical solutions is tabulated. There is reasonable agreement between the results.
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