Abstract

This article deals with three-dimensional non-Newtonian Jeffrey fluid in rotating frame in the presence of magnetic field. The flow is studied in the application of Hall current, where the flow is assumed in steady states. The upper plate is considered fixed, and the lower is kept stretched. The fundamental equations are transformed into a set of ordinary differential equations (ODEs). A homotopy technique is practiced for a solution. The variation in the skin friction and its effects on the velocity fields have been examined numerically. The effects of physical parameters are discussed in various plots.

Highlights

  • MHD for micropolar nanofluids [11, 12]

  • Among the analytical methods (AMs), HAM proposed by Liao is the most powerful and fast convergent [15,16,17,18,19]

  • Hall effect is produced due to the potential difference across an electrical conductor when a magnetic field is acting in a direction vertical to that of the flow of current

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Summary

Problem Formulation

Assume the Jeffrey fluid between two parallel plates having d separation. e plate and fluid rotate about y axis with Ω. Assume the Jeffrey fluid between two parallel plates having d separation. E plate and fluid rotate about y axis with Ω. E lower plate is stretched by two opposite and equal forces. A uniform magnetic field B0 is applied perpendicularly with a steady-state condition (Figure 1). · 􏽨􏼐2⌢uxu⌢xx + 2⌢vxu⌢xy􏼑 + u􏼐⌢uxxx + u⌢xyy􏼑 + v􏼐⌢uxxy + u⌢yyy􏼑 + ⌢uy · 􏼐⌢vxx + ⌢uyx􏼑 +􏼐⌢uyy + ⌢vxy􏼑⌢vy􏽩,. · 􏽨􏼐2⌢vy⌢vyy + 2⌢uy⌢vyx􏼑 +􏼐⌢vxxx + ⌢vxyy􏼑u +􏼐⌢vxxy + ⌢vxyy􏼑v +􏼐u⌢xy + ⌢vxx􏼑⌢ux +􏼐⌢uyy + ⌢vxy􏼑⌢vy􏽩, ρ􏼐uw⌢ x vw⌢ y. M2􏼡(mu w) c1 􏼓􏽨􏼐w⌢ yyy w⌢ xxy 􏼑v w⌢ xyu⌢y u⌢xw⌢ xx u􏼐w⌢ xxx w⌢ xyy 􏼑􏽩.

Solution Procedure
Convergence of HAM
Conclusion e following conclusion is observed:
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