Convective heat transfer and double diffusive convection in ionic nanofluids flow driven by peristalsis and electromagne
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Convective heat transfer and double diffusive convection in ionic nanofluids flow driven by peristalsis and electromagnetohydrodynamics J PRAKASH1 , ASHISH SHARMA2 and D TRIPATHI3,∗ 1 Department
of Mathematics, Avvaiyar Government College for Women, Karaikal 609 602, India of Mechanical Engineering, Manipal University Jaipur, Jaipur 303 007, India 3 Department of Mathematics, National Institute of Technology, Srinagar, Garhwal 246 174, India ∗ Corresponding author. E-mail: [email protected] 2 Department
MS received 13 April 2019; revised 6 August 2019; accepted 9 September 2019 Abstract. An analytical study to investigate the double diffusive convection in peristaltic pumping of ionic nanofluids through asymmetric microchannel under the influence of electromagnetohydrodynamics (EMHD) is presented. Thermal radiation effect is also considered. Velocity slip and convective boundary conditions are employed at the permeable channel walls. Debye Hückel linearisation is considered to simplify the Poisson– Boltzmann equation. The normalised two-dimensional conservation equations for mass, momentum, energy, solutal concentration and nanoparticle fraction are reduced when long wavelength and low Reynolds number are assumed. Analytical solutions are computationally illustrated with MATLAB software to describe the pumping, flow and thermal characteristics under the effects of relevant parameters like Biot number, slip parameters, thermal radiation, Debye length, Hartmann number and Grashof numbers. Furthermore, solutal concentration, nanoparticle fraction and heat transfer coefficient are also analysed to see the influences of pertinent parameters. Such observations may be applicable to develop electro-osmotically actuated bio-microfluidic systems for smart drug delivery and microlevel physiological transport. Keywords. Electromagnetohydrodynamics; ionic nanofluids; convective boundary conditions; heat transfer coefficient; Debye length; thermal radiation. PACS Nos 47; 47.10.A; 47.50.−d
1. Introduction Microfluidic peristaltic pumping (electrokinetic transport induced by a sinusoidal travelling wave motion) has huge demands in biomedical applications [1–3] which has been receiving increasing attention from the biomedical research community in the last few decades. Peristaltic pumping is the natural mechanism of an intriguing biological propulsion. This mechanism can be observed internally as oesophageal swallowing, intestinal chyme transport, the transport of sperm to the fallopian tube, urine flow, blood flow etc., and externally as worms’ movement. This natural pumping is caused by rhythmic muscular contractions which generate a wave of contraction along the conduit or body walls. Some basic models on theoretical [4–8] and experimental [9,10] peristaltic pumping have been studied with great interest in biomedical science. The 0123456789().: V,-vol
researchers have discussed the pumping characteristics, flow characteristics, trapping and reflux with twodimensional channels and cylindrical t
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