Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology

The present work introduces formulating a mathematical modeling to predict the thermal performance of pyramid solar distiller (PSD) using the technique of response surface methodology (RSM) to be applied in solar distillers under different environmental parameters and nanoparticle types and concentr...

Full description

Bibliographic Details
Main Authors: W.M. Farouk, A.S. Abdullah, Suha A. Mohammed, Wissam H. Alawee, Z.M. Omara, F.A. Essa
Format: Article
Language:English
Published: Elsevier 2022-05-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X22002301
_version_ 1811332771355820032
author W.M. Farouk
A.S. Abdullah
Suha A. Mohammed
Wissam H. Alawee
Z.M. Omara
F.A. Essa
author_facet W.M. Farouk
A.S. Abdullah
Suha A. Mohammed
Wissam H. Alawee
Z.M. Omara
F.A. Essa
author_sort W.M. Farouk
collection DOAJ
description The present work introduces formulating a mathematical modeling to predict the thermal performance of pyramid solar distiller (PSD) using the technique of response surface methodology (RSM) to be applied in solar distillers under different environmental parameters and nanoparticle types and concentrations. The most influential climatic process parameters considered are solar-intensity, ambient temperature, and wind velocity. The regression models for predicting the performance parameter responses were developed using RSM and a four-factor, five-level central composite architecture. The optimum parameters values obtained from RSM were predicted. The impact of various nanomaterials mixed with the water basin on PSD performance was studied. Three different nanomaterials were used (titanium oxide (TiO2), aluminum oxide (Al2O3) and copper oxide (Cu2O)). The selection of nanomaterials was considered according to their optical, thermophysical, and heat transfer properties. Effects of nanoparticles concentration on daily responses were studied. The ascertained optimal parameters were 19.5% Cu2O concentrations, 720 w/m2 solar-intensity, 38.6 °C ambient temperature, and 0.5 m/s wind speed for achieving the maximum productivity of PSD. Besides, the average daily productivity of Cu2O-PSD, Al2O3-PSD and TiO2-PSD at nano-concentration 0.3% was 6150, 5720 and 5300 mL/m2.day compared to 3900 mL/m2.day for that of conventional PSD. So, the average daily productivity increase of Cu2O-PSD, Al2O3-PSD and TiO2-PSD was 57%, 46% and 36% over PSD, respectively. Moreover, the error existed among the actual experimental and RSM coded values for P, Tw and Tg lies within 5.2%, 4.9%, and 6.5%, respectively. Evidently, this affirms the excellence of reproducibility of the pilot experimental results.
first_indexed 2024-04-13T16:41:16Z
format Article
id doaj.art-77dfcc30474f4fdc869921b4e8c2f4f0
institution Directory Open Access Journal
issn 2214-157X
language English
last_indexed 2024-04-13T16:41:16Z
publishDate 2022-05-01
publisher Elsevier
record_format Article
series Case Studies in Thermal Engineering
spelling doaj.art-77dfcc30474f4fdc869921b4e8c2f4f02022-12-22T02:39:13ZengElsevierCase Studies in Thermal Engineering2214-157X2022-05-0133101984Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodologyW.M. Farouk0A.S. Abdullah1Suha A. Mohammed2Wissam H. Alawee3Z.M. Omara4F.A. Essa5Mechanical Engineering Department, Faculty of Engineering, Benha University, EgyptMechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Alkharj, 16273, Saudi Arabia; Mechanical Power Engineering Department, Faculty of Engineering, Tanta University, Tanta, 31734, Egypt; Corresponding author. Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Alkharj, 16273, Saudi Arabia.Mechanical Engineering Department, University of Technology, Baghdad, IraqControl and Systems Engineering Department, University of Technology, Baghdad, IraqMechanical Engineering Department, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, 33516, EgyptMechanical Engineering Department, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, 33516, EgyptThe present work introduces formulating a mathematical modeling to predict the thermal performance of pyramid solar distiller (PSD) using the technique of response surface methodology (RSM) to be applied in solar distillers under different environmental parameters and nanoparticle types and concentrations. The most influential climatic process parameters considered are solar-intensity, ambient temperature, and wind velocity. The regression models for predicting the performance parameter responses were developed using RSM and a four-factor, five-level central composite architecture. The optimum parameters values obtained from RSM were predicted. The impact of various nanomaterials mixed with the water basin on PSD performance was studied. Three different nanomaterials were used (titanium oxide (TiO2), aluminum oxide (Al2O3) and copper oxide (Cu2O)). The selection of nanomaterials was considered according to their optical, thermophysical, and heat transfer properties. Effects of nanoparticles concentration on daily responses were studied. The ascertained optimal parameters were 19.5% Cu2O concentrations, 720 w/m2 solar-intensity, 38.6 °C ambient temperature, and 0.5 m/s wind speed for achieving the maximum productivity of PSD. Besides, the average daily productivity of Cu2O-PSD, Al2O3-PSD and TiO2-PSD at nano-concentration 0.3% was 6150, 5720 and 5300 mL/m2.day compared to 3900 mL/m2.day for that of conventional PSD. So, the average daily productivity increase of Cu2O-PSD, Al2O3-PSD and TiO2-PSD was 57%, 46% and 36% over PSD, respectively. Moreover, the error existed among the actual experimental and RSM coded values for P, Tw and Tg lies within 5.2%, 4.9%, and 6.5%, respectively. Evidently, this affirms the excellence of reproducibility of the pilot experimental results.http://www.sciencedirect.com/science/article/pii/S2214157X22002301Pyramid solar stillSolar distillationResponse surface methodologyCu2O NanoparticlesCopper oxide
spellingShingle W.M. Farouk
A.S. Abdullah
Suha A. Mohammed
Wissam H. Alawee
Z.M. Omara
F.A. Essa
Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
Case Studies in Thermal Engineering
Pyramid solar still
Solar distillation
Response surface methodology
Cu2O Nanoparticles
Copper oxide
title Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
title_full Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
title_fullStr Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
title_full_unstemmed Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
title_short Modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
title_sort modeling and optimization of working conditions of pyramid solar still with different nanoparticles using response surface methodology
topic Pyramid solar still
Solar distillation
Response surface methodology
Cu2O Nanoparticles
Copper oxide
url http://www.sciencedirect.com/science/article/pii/S2214157X22002301
work_keys_str_mv AT wmfarouk modelingandoptimizationofworkingconditionsofpyramidsolarstillwithdifferentnanoparticlesusingresponsesurfacemethodology
AT asabdullah modelingandoptimizationofworkingconditionsofpyramidsolarstillwithdifferentnanoparticlesusingresponsesurfacemethodology
AT suhaamohammed modelingandoptimizationofworkingconditionsofpyramidsolarstillwithdifferentnanoparticlesusingresponsesurfacemethodology
AT wissamhalawee modelingandoptimizationofworkingconditionsofpyramidsolarstillwithdifferentnanoparticlesusingresponsesurfacemethodology
AT zmomara modelingandoptimizationofworkingconditionsofpyramidsolarstillwithdifferentnanoparticlesusingresponsesurfacemethodology
AT faessa modelingandoptimizationofworkingconditionsofpyramidsolarstillwithdifferentnanoparticlesusingresponsesurfacemethodology