Abstract
In the present paper focused on flow and mass transfer of Prandtl fluid over a Riga plate. The effects of chemical reaction and solutal slip are taken into the account. The governing partial differential equations are reduced into a set of coupled non linear ordinary differential equations using suitable similarity transformations. These equations are then solved using Runge-Kutta-Fehlberg-45 method. Behaviour of emerging parameters are presented graphically and discussed for velocity and concentration distribution. Numerical values of reduced skin friction coefficient and Sherwood number are shown in table and are discussed. From the plotted results it can be observed that the solutal boundary layer thickness decreases for larger values of chemical reaction parameter and Schmidt number. Also, momentum boundary layer thickness rise with stronger modified Hartman number.
References
Abbas, T., M. Ayub, M.M. Bhatti, M.M. Rashidi, and M. Ali. 2016. “Entropy Generation on Nanofluid Flow through a Horizontal Riga Plate.” Entropy 18 (6): 223.10.3390/e18060223Search in Google Scholar
Ahmad, A., S. Asghar, and S. Afzal. 2016. “Flow of Nanofluid Pasta Riga Plate.” Journal of Magnetism and Magnetic Materials 402: 44–48.10.1016/j.jmmm.2015.11.043Search in Google Scholar
Datta, N., and S.K. Mishra. 1982. “Boundary Layer Flow of a Dusty Fluid over a Semi-Infinite Flat Plate.” Acta Mechanisms 42: 71–83.10.1007/BF01176514Search in Google Scholar
Gailitis, A., and O. Lielausis. 1961. “On a Possibility to Reduce the Hydrodynamic Resistance of Plate in an Electrolyte.” Applications Magnetohydrodyn 12: 143–146.Search in Google Scholar
Ganesh Kumar, K., B.J. Gireesha, B.C. Prasannakumara, and O.D. Makinde. 2017. “Impact of Chemical Reaction on Marangoni Boundary Layer Flow of a Casson Nano Liquid in the Presence of Uniform Heat Source Sink.” Diffusion Foundations 11: 22–32.10.4028/www.scientific.net/DF.11.22Search in Google Scholar
Gnaneswara Reddy, M., M. V. V. N. L. Sudha Rani, K. Ganesh Kumar, and B. C. Prasannakumara. 2018. “Cattaneo–Christov Heat Flux and Non-Uniform Heat-Source/Sink Impacts on Radiative Oldroyd-B Two-Phase Flow across a Cone/Wedge.” Journal of the Brazilian Society of Mechanical Sciences and Engineering 40: 95.10.1007/s40430-018-1033-8Search in Google Scholar
Hayat, T., T. Abbas, M. Ayuba, M. Farooq, and A. Alsaedi. 2016a. “Flow of Nanofluid Due to Convectively Heated Riga Plate with Variable Thickness.” Journal of Molecular Liquids 222: 854–862.10.1016/j.molliq.2016.07.111Search in Google Scholar
Hayat, T., M. Khan, M. Imtiaz, and A. Alsaedi. 2017a. “Squeezing Flow past a Riga Plate with Chemical Reaction and Convective Conditions.” Journal of Molecular Liquids 225: 569–576.10.1016/j.molliq.2016.11.089Search in Google Scholar
Hayat, T., M. Ijaz Khan, M. Farooq, A. Alsaedi, M. Waqas, and Tabassam Yasmeen. 2016b. “Impact of Cattaneo–Christov Heat Flux Model in Flow of Variable Thermal Conductivity Fluid over a Variable Thicked Surface.” International Journal of Heat and Mass Transfer 99: 702–710.10.1016/j.ijheatmasstransfer.2016.04.016Search in Google Scholar
Hayat, T., Muhammad Ijaz Khan, Sumaira Qayyum, and Ahmed Alsaedi. 2018a. “Entropy Generation in Flow with Silver and Copper Nanoparticles.” Colloids and Surfaces A: Physicochemical and Engineering Aspects 539: 335–346.10.1016/j.colsurfa.2017.12.021Search in Google Scholar
Hayat, T., Taseer Muhammad, Sabir Ali Shehzad, Ahmed Alsaedi, and Falleh Al-Solamy. 2016c. “Radiative Three-Dimensional Flow with Chemical Reaction.” International Journal of Chemical Reactor Engineering 14 (1): 79–91.10.1515/ijcre-2014-0179Search in Google Scholar
Hayat, T, S Qayyum, SA Shehzad, and A Alsaedi. 2017b. “Chemical Reaction and Heat Generation/Absorption Aspects in Flow of Walters-B Nanofluid with Cattaneo-Christov Double-Diffusion.” Results in Physics 7: 4145–4152.10.1016/j.rinp.2017.10.036Search in Google Scholar
Hayat, T., Sumaira Qayyum, Muhammad Ijaz Khan, and Ahmed Alsaedi. 2018b. “Entropy Generation in Magnetohydrodynamic Radiative Flow Due to Rotating Disk in Presence of Viscous Dissipation and Joule Heating.” Physics of Fluids 30 (1): 017101.10.1063/1.5009611Search in Google Scholar
Hayat, T, M Waqas, SA Shehzad, and A Alsaedi. 2017c. “On 2D Stratified Flow of an Oldroyd-B Fluid with Chemical Reaction: An Application of non-Fourier Heat Flux Theory.” Journal of Molecular Liquids 223: 566–571.10.1016/j.molliq.2016.08.083Search in Google Scholar
Khan, M.I., Tasawar Hayat, Muhammad Imran Khan, and Ahmed Alsaedi. 2018. “Activation Energy Impact in Nonlinear Radiative Stagnation Point Flow of Cross Nanofluid.” International Communications in Heat and Mass Transfer 91: 216–224.10.1016/j.icheatmasstransfer.2017.11.001Search in Google Scholar
Khan, M.I., Muhammad Waqas, Tasawar Hayat, and Ahmed Alsaedi. 2017. “A Comparative Study of Casson Fluid with Homogeneous-Heterogeneous Reactions.” Journal of Colloid and Interface Science 498: 85–90.10.1016/j.jcis.2017.03.024Search in Google Scholar PubMed
Kumar, K.G., B.J. Gireesha, and R.S.R. Gorla. 2018. “Flow and Heat Transfer of Dusty Hyperbolic Tangent Fluid over a Stretching Sheet in the Presence of Thermal Radiation and Magnetic Field.” International Journal of Mechanical and Materials Engineering 13 (1): 2.10.1186/s40712-018-0088-8Search in Google Scholar
Kumar, K.G., BJ Gireesha, M.R. Krishanamurthy, and N.G. Rudraswamy. 2017a. “An Unsteady Squeezed Flow of a Tangent Hyperbolic Fluid over a Sensor Surface in the Presence of Variable Thermal Conductivity.” Results in Physics 7: 3031–3036.10.1016/j.rinp.2017.08.021Search in Google Scholar
Kumar, K.G., B.J. Gireesha, S. Manjunatha, and N.G. Rudraswamy. 2017b. “Effect of Nonlinear Thermal Radiation on Double-Diffusive Mixed Convection Boundary Layer Flow of Viscoelastic Nanofluid over a Stretching Sheet.” International Journal of Mechanical and Materials Engineering 12 (1): 18.10.1186/s40712-017-0083-5Search in Google Scholar
Kumar, K.G., B.J. Gireesha, N.G. Rudraswamy, and S. Manjunatha. 2017c. “Radiative Heat Transfers of Carreau Fluid Flow over a Stretching Sheet with Fluid Particle Suspension and Temperature Jump.” Results in Physics 7: 3976–3983.10.1016/j.rinp.2017.09.058Search in Google Scholar
Kumar, K.G., N.G. Rudraswamy, and B.J. Gireesha. 2017. “Effects of Mass Transfer on MHD Three Dimensional Flow of a Prandtl Liquid over a Flat Plate in the Presence of Chemical Reaction.” Results in Physics 7: 3465–3471.10.1016/j.rinp.2017.08.060Search in Google Scholar
Kumar, K.G., N.G. Rudraswamy, B.J. Gireesha, and S. Manjunatha. 2017d. “Non-Linear Thermal Radiation Effect on Williamson Fluid with Particle-Liquid Suspension past a Stretching Surface.” Results in Physics 7: 3196–3202.10.1016/j.rinp.2017.08.027Search in Google Scholar
Kumar, R., S Sood, M Sheikholeslami, and SA Shehzad. 2017e. “Nonlinear Thermal Radiation and Cubic Autocatalysis Chemical Reaction Effects on the Flow of Stretched Nanofluid under Rotational Oscillations.” Journal of Colloid and Interface Science 505: 253–265.10.1016/j.jcis.2017.05.083Search in Google Scholar PubMed
Makinde, O.D., K.G. Kumar, S. Manjunatha, and B.J. Gireesha. 2017. “Effect of Nonlinear Thermal Radiation on MHD Boundary Layer Flow and Melting Heat Transfer of Micro-Polar Fluid over a Stretching Surface with Fluid Particles.” Defect and Diffusion Forum 378: 125–136.10.4028/www.scientific.net/DDF.378.125Search in Google Scholar
Nadeem, Sohail, and Safia Akram. 2011. “Magneto Hydrodynamic Peristaltic Flow of a Hyperbolic Tangent Fluid in a Vertical Asymmetric Channel with Heat Transfer.” Acta Mechanisms Sin 27 (2): 237–250.10.1007/s10409-011-0423-2Search in Google Scholar
Nadeem, Sohail, S. Ijaz, and N.S. Akbar. 2013. “Nanoparticle Analysis for Blood Flow of Prandtl Fluid Model with Stenosis.” International Nano Letters 3 (35): 2–13.10.1186/2228-5326-3-35Search in Google Scholar
Nasrin, R., and M.A. Alim. 2012. “Prandtl Number Effect on Free Convective Flow in a Solar Collector Utilizing Nanofluid.” Engineering Transactions 7 (2): 62–72.10.1016/j.proeng.2013.03.088Search in Google Scholar
Nasrin, Rehena, Salma Parvin, and M.A. Alim. 2016. “Prandtl Number Effect on Assisted Convective Heat Transfer through a Solar Collector.” Applications and Applied Mathematics: an International Journal 2: 22–36.Search in Google Scholar
Qayyum, S, T Hayat, SA Shehzad, and A Alsaedi. 2017. “Effect of a Chemical Reaction on Magnetohydrodynamic (MHD) Stagnation Point Flow of Walters-B Nanofluid with Newtonian Heat and Mass Conditions.” Nuclear Engineering and Technology 49 (8): 1636–1644.10.1016/j.net.2017.07.028Search in Google Scholar
Ramesh, G.K., K. Ganesh Kumar, S.A. Shehzad, and B.J. Gireesha. 2017. “Enhancement of Radiation on Hydromagnetic Casson Fluid Flow Towards a Stretched Cylinder with Suspension of Liquid-Particles.” Canadian Journal of Physics 999: 1–7.10.1139/cjp-2017-0307Search in Google Scholar
Saffman, P.G. 1962. “On the Stability of Laminar flow of a Dusty Gas.” Journal of Fluid Mechanics 13: 120–128.10.1017/S0022112062000555Search in Google Scholar
Thammanna, G.T., K.G. Kumar, B.J. Gireesha, and G.K. Ramesh. 2017. “Three Dimensional MHD Flow of Couple Stress Casson Fluid past an Unsteady Stretching Surface with Chemical Reaction.” Results in Physics 7: 4104–4110.10.1016/j.rinp.2017.10.016Search in Google Scholar
© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Review
- Modelling of Chemical Reactors: From Systemic Approach to Compartmental Modelling
- Articles
- Novel Solutions in Modeling of Anaerobic Digestion Process - Two-Phase AD Models Development and Comparison
- Characterization and Catalytic Performance of Modified SBA-16 in Liquid Phase Reaction
- Production of NMSBA from NMST Catalyzed by Co/Mn/Br and HPW@C Modified with ZnCl2 Solution
- Numerical Study on the Kinetic Effects of Hydrogen Addition on the Thermal Characteristics of Laminar Methane Diffusion Flames
- Transient Flow and Heat Transfer Characteristics of non-Newtonian Supercritical Third-Grade Fluid (CO2) past a Vertical Cylinder
- Synthesis of MgO/TiO2 Nanocomposite and Its Application in Photocatalytic Dye Degradation
- A Comparative CFD Study on Gas-Liquid Dispersion in A Stirred Tank with Low and High Gas Loadings
- Scrutinization of Chemical Reaction Effect on Flow and Mass Transfer of Prandtl Liquid over a Riga Plate in the Presence of Solutal Slip Effect
- Short Communications
- Edible Plant Oil Wastewater Treatment Using Electro-Fenton Technique: Experiment and Correlation
Articles in the same Issue
- Review
- Modelling of Chemical Reactors: From Systemic Approach to Compartmental Modelling
- Articles
- Novel Solutions in Modeling of Anaerobic Digestion Process - Two-Phase AD Models Development and Comparison
- Characterization and Catalytic Performance of Modified SBA-16 in Liquid Phase Reaction
- Production of NMSBA from NMST Catalyzed by Co/Mn/Br and HPW@C Modified with ZnCl2 Solution
- Numerical Study on the Kinetic Effects of Hydrogen Addition on the Thermal Characteristics of Laminar Methane Diffusion Flames
- Transient Flow and Heat Transfer Characteristics of non-Newtonian Supercritical Third-Grade Fluid (CO2) past a Vertical Cylinder
- Synthesis of MgO/TiO2 Nanocomposite and Its Application in Photocatalytic Dye Degradation
- A Comparative CFD Study on Gas-Liquid Dispersion in A Stirred Tank with Low and High Gas Loadings
- Scrutinization of Chemical Reaction Effect on Flow and Mass Transfer of Prandtl Liquid over a Riga Plate in the Presence of Solutal Slip Effect
- Short Communications
- Edible Plant Oil Wastewater Treatment Using Electro-Fenton Technique: Experiment and Correlation